SECURITIES AND EXCHANGE COMMISSION
                             WASHINGTON, D.C. 20549

                                -----------------

                                   SCHEDULE TO

            TENDER OFFER STATEMENT UNDER SECTION 14(d)(1) OR 13(e)(1)
                     OF THE SECURITIES EXCHANGE ACT OF 1934

                              TIMET Capital Trust I
                           Titanium Metals Corporation
                            (Name of Subject Company)

                                   Valhi, Inc.
                       (Names of Filing Persons (Offeror))

        6 5/8% Convertible Preferred Securities of TIMET Capital Trust I
    Convertible Preferred Securities Guarantee of Titanium Metals Corporation
                         (Title of Class of Securities)

                             887381408 and 887381309
                      (CUSIP Number of Class of Securities)

                                Steven L. Watson
                      President and Chief Executive Officer
                                   Valhi, Inc.
                              Three Lincoln Centre
                          5430 LBJ Freeway, Suite 1700
                               Dallas, Texas 75240
                                 (972) 233-1700
                  (Name, Address and Telephone Number of Person
  Authorized to Receive Notices and Communications on Behalf of Filing Persons)

                                    Copy to:
                               Don M. Glendenning
                                 Toni Weinstein
                            Locke Liddell & Sapp LLP
                          2200 Ross Avenue, Suite 2200
                               Dallas, Texas 75201
                                 (214) 740-8000

                            CALCULATION OF FILING FEE

------------------------------------    ----------------------------------------
        Transaction Value *                        Amount of Filing Fee**
------------------------------------    ----------------------------------------
------------------------------------    ----------------------------------------
          $10,000,000                                  $2,000
------------------------------------    ----------------------------------------

*        Estimated  for  purposes  of  calculating  the amount of the filing fee
         only.  Calculated  by  multiplying  the $10.00  tender  offer  price by
         1,000,000,  the maximum  amount of  securities  to be  purchased in the
         offer.

**       Calculated as 1/50 of 1% of the transaction value.





|_|      Check  the box if any part of the fee is  offset  as  provided  by Rule
         0-11(a)(2)  and identify the filing with which the  offsetting  fee was
         previously paid. Identify the previous filing by registration statement
         number, or the Form or Schedule and the date of its filing.

         Amount Previously Paid:    ---------      Filing Party:  ----------
         Form or Registration No.:  ---------      Date Filed:    ----------

|_|      Check  the  box  if  the   filing   relates   solely   to   preliminary
         communications made before the commencement of a tender offer.

Check the appropriate boxes to designate any transactions to which the statement
relates:

|_|      third-party tender offer subject to Rule 14d-1.

|X|      issuer tender offer subject to Rule 13e-4.

|_|      going-private transaction subject to Rule 13e-3.

|_|      amendment to Schedule 13D under Rule 13d-2.

Check the following box if the filing is a final amendment reporting the results
of the tender offer: |_|





         This Tender  Offer  Statement  on Schedule TO (this  "Schedule  TO") is
filed by Valhi,  Inc., a Delaware  corporation  ("Purchaser").  This Schedule TO
relates to the offer by Purchaser to purchase up to 1,000,000 6 5/8% Convertible
Preferred Securities,  Beneficial Unsecured Convertible Securities,  liquidation
preference  $50 per  security  (the  "Securities"),  which  represent  undivided
beneficial  ownership  interests  in the  assets  of  TIMET  Capital  Trust I, a
Delaware statutory  business trust (the "Trust"),  at a purchase price of $10.00
per  Security,  net to the  seller in cash,  upon the terms and  subject  to the
conditions  set forth in the Offer to Purchase  dated May 5, 2003 (the "Offer to
Purchase")  and in the  related  Letter  of  Transmittal,  copies  of which  are
attached  hereto  as  Exhibits  (a)(1)  and  (a)(2)  (which,  together  with any
amendments or supplements  thereto,  collectively  constitute the "Offer").  The
Securities include the associated  guarantee by Titanium Metals  Corporation,  a
Delaware corporation ("TIMET").

Item 1.  Summary Term Sheet.

         The  information  set forth in the  section  of the  Offer to  Purchase
entitled "Summary Term Sheet" is incorporated herein by reference.

Item 2.  Subject Company Information.

         (a) The Securities  represent undivided  beneficial ownership interests
in the assets of the Trust,  are  guaranteed by TIMET and are  convertible  into
shares of common  stock of TIMET.  TIMET and the Trust are each  affiliates  (as
defined in Rule 12b-2 promulgated under the Securities  Exchange Act of 1934, as
amended) of Purchaser.  The address of the principal  executive offices of TIMET
and the  Trust  are 1999  Broadway,  Suite  4300,  Denver,  Colorado,  and their
telephone  number is (303)  296-5600.  The  information set forth in "Section 7.
Certain Information  Concerning TIMET and the Trust" of the Offer to Purchase is
incorporated herein by reference.

         (b) This  Schedule TO relates to the Offer by  Purchaser to purchase up
to  1,000,000  Securities  at a  purchase  price of  $10.00  per  Security.  The
information  set forth in "Section 12.  Description  of the  Securities"  of the
Offer to Purchase is incorporated herein by reference.

         (c) The  information set forth in "Section 6. Price Range of Securities
and TIMET Shares;  Dividends" of the Offer to Purchase is incorporated herein by
reference.

Item 3.  Identity and Background of Filing Person.

         This is an issuer tender offer made by Purchaser, which may be deemed
to be an affiliate of TIMET and the Trust. The information set forth in "Section
8. Certain Information Concerning Purchaser" of the Offer to Purchase is
incorporated herein by reference.

Item 4.  Terms of the Transaction.

         (a)(1)(i)-(ix)  and (xii) The  information  set forth in "Summary  Term
Sheet," "Section 1. Terms of the Offer; Expiration Date," "Section 2. Acceptance
for Payment and Payment of Securities," "Section 3. Procedures for Accepting the
Offer and Tendering  Securities," "Section 4. Withdrawal Rights" and "Section 5.
Certain  Federal  Income  Tax   Consequences"   of  the  Offer  to  Purchase  is
incorporated herein by reference.

         (a)(1)(x) and (xi) Not applicable.

         (a)(2) Not applicable.

         (b)  Purchaser  has  been  advised  by  the  officers,   directors  and
affiliates  of TIMET and the Trust that such persons do not intend to tender any
Securities in the Offer.  Accordingly,  Purchaser does not anticipate purchasing
any Securities in the Offer from such persons.

Item 5.  Past Contacts, Transactions, Negotiations and Agreements.

         The information set forth in "Section 8. Certain Information  Regarding
Purchaser"  and  "Section 12.  Description  of the  Securities"  of the Offer to
Purchase is incorporated herein by reference.

Item 6.  Purposes of the Transaction and Plans or Proposals.

         (a), (b) and (c) The  information  set forth in "Section 10. Purpose of
the Offer;  Other  Matters" of the Offer to Purchase is  incorporated  herein by
reference.

Item 7.  Source and Amount of Funds or Other Consideration.

         (a) The  information  set forth in  "Section  9.  Source  and Amount of
Funds" of the Offer to Purchase is incorporated herein by reference.

         (b) None.

         (c) The information set forth in "Section 14. Fees and Expenses" of the
Offer to Purchase is incorporated herein by reference.

Item 8.  Interest in Securities of the Subject Company.

         (a) The  information  set  forth in  "Section  8.  Certain  Information
Concerning  Purchaser"  of the  Offer to  Purchase  is  incorporated  herein  by
reference.

         (b) None.

Item 9.  Persons/Assets Retained, Employed, Compensated or Used.

         The  information  set forth in "Section  14. Fees and  Expenses" of the
Offer to Purchase is incorporated herein by reference.

Item 10. Financial Statements.

         (a) Purchaser does not believe that it is required to include financial
information due to the fact that this  information is not material to holders of
Securities  because,  among other reasons,  the  consideration  offered consists
solely  of cash,  the  Offer  is not  subject  to any  financing  condition  and
Purchaser is a public reporting company that files reports  electronically under
EDGAR.

         (b) Not applicable.

Item 11. Additional Information.

         (a) The  information  set  forth in  "Section  8.  Certain  Information
Concerning  Purchaser,"  "Section  13.  Certain  Legal  Matters  and  Regulatory
Approvals"  and  "Section  15.  Miscellaneous"  of  the  Offer  to  Purchase  is
incorporated herein by reference.

         (b) The  information set forth in "Section 6. Price Range of Securities
and TIMET Shares;  Possible  Effects of the Offer on the Market for  Securities;
Dividends" of the Offer to Purchase is incorporated herein by reference.

Item 12. Material to Be Filed as Exhibits.

         (a)(1)   Offer to Purchase dated May 5, 2003.

         (a)(2)   Form of Letter of Transmittal.

         (a)(3)   Form of Notice of Guaranteed Delivery.

         (a)(4)   Form of Letter to Brokers,  Dealers,  Commercial Banks,  Trust
                  Companies and Other Nominees.

         (a)(5)   Form  of  Letter  to  Clients  for  use by  Brokers,  Dealers,
                  Commercial Banks, Trust Companies and Nominees.

         (a)(6)   Form   of   Guidelines   for    Certification    of   Taxpayer
                  Identification Number on Substitute Form W-9.

         (a)(7)   Press Release issued by Purchaser on May 5, 2003.

         (b)      None.

         (d)(1)   Intercorporate   Services   Agreement  between  TIMET  and  NL
                  Industries,   Inc.,   effective   as  of   January   1,   2002
                  (incorporated  by reference to Exhibit 10.3 to NL  Industries,
                  Inc.'s  Quarterly  Report on Form 10-Q for the  quarter  ended
                  March 31, 2002).

         (d)(2)   Intercorporate  Services  Agreement  between TIMET and Tremont
                  Corporation,  effective as of January 1, 2002 (incorporated by
                  reference to Exhibit 10.2 to TIMET's  Quarterly Report on Form
                  10-Q for the quarter ended March 31, 2002).

         (d)(3)   Shareholders' Agreement, dated February 15, 1996, among TIMET,
                  Tremont  Corporation,  IMI  plc,  IMI  Kynoch  Ltd.,  and  IMI
                  Americas,  Inc.  (incorporated  by reference to Exhibit 2.2 to
                  Tremont  Corporation's  Current  Report  on Form 8-K (File No.
                  1-10126) filed with the Securities and Exchange  Commission on
                  March 1, 1996).

         (d)(4)   Amendment  to the  Shareholders'  Agreement,  dated  March 29,
                  1996, among TIMET,  Tremont  Corporation,  IMI plc, IMI Kynoch
                  Ltd.  and IMI  Americas,  Inc.  (incorporated  by reference to
                  Exhibit 10.30 to Tremont  Corporation's  Annual Report on Form
                  10-K (File No. 1-10126) for the year ended December 31, 1995).

         (d)(5)   Amended and  Restated  Declaration  of Trust of TIMET  Capital
                  Trust I, dated as of November 20, 1996,  among Titanium Metals
                  Corporation, as Sponsor, JP Morgan Chase Bank (f/k/a The Chase
                  Manhattan  Bank),  as Property  Trustee,  Chase Manhattan Bank
                  (Delaware),  as Delaware  Trustee  and Joseph S.  Compofelice,
                  Robert E. Musgraves and Mark A. Wallace,  as Regular  Trustees
                  (incorporated  by reference to Exhibit 4.2 to TIMET's  Current
                  Report  on Form 8-K filed  with the  Securities  and  Exchange
                  Commission on December 5, 1996.)

         (d)(6)   Form of 6 5/8% Convertible Preferred Securities  (incorporated
                  by reference to Exhibit 4.4 to TIMET's  Current Report on Form
                  8-K filed  with the  Securities  and  Exchange  Commission  on
                  December 5, 1996).

         (d)(7)   Convertible  Preferred  Securities  Guarantee,   dated  as  of
                  November 20, 1996, between TIMET, as Guarantor,  and JP Morgan
                  Chase Bank  (f/k/a The Chase  Manhattan  Bank),  as  Guarantee
                  Trustee  (incorporated  by reference to Exhibit 4.7 to TIMET's
                  Current  Report  on Form 8-K  filed  with the  Securities  and
                  Exchange Commission on December 5, 1996).

         (d)(8)   Indenture for the 6 5/8% Convertible  Subordinated Debentures,
                  dated as of November  20, 1996 among TIMET and JP Morgan Chase
                  Bank   (f/k/a   The  Chase   Manhattan   Bank),   as   Trustee
                  (incorporated  by reference to Exhibit 4.3 to TIMET's  Current
                  Report  on Form 8-K filed  with the  Securities  and  Exchange
                  Commission on December 5, 1996).

         (g)      None.

         (h)      None.

Item 13. Information Required by Schedule 13E-3.

         Not applicable.





         After due inquiry and to the best of my knowledge and belief, I certify
that the information set forth in this statement is true, complete and correct.

Dated:  May 5, 2003                     VALHI, INC.


                                        By:/s/ Steven L. Watson
                                           -------------------------------------
                                           Steven L. Watson
                                           President and Chief Executive Officer






                                  EXHIBIT INDEX

Exhibit No.

(a)(1)   Offer to Purchase dated May 5, 2003.

(a)(2)   Form of Letter of Transmittal.

(a)(3)   Form of Notice of Guaranteed Delivery.

(a)(4)   Form of Letter to Brokers,  Dealers,  Commercial Banks, Trust Companies
         and Other Nominees.

(a)(5)   Form of Letter  to  Clients  for use by  Brokers,  Dealers,  Commercial
         Banks, Trust Companies and Nominees.

(a)(6)   Form of Guidelines for Certification of Taxpayer  Identification Number
         on Substitute Form W-9.

(a)(7)   Press Release issued by Purchaser on May 5, 2003.

(b)      None.

(d)(1)   Intercorporate  Services  Agreement  between  TIMET and NL  Industries,
         Inc.,  effective  as of January 1, 2002  (incorporated  by reference to
         Exhibit 10.3 to NL Industries, Inc.'s Quarterly Report on Form 10-Q for
         the quarter ended March 31, 2002).

(d)(2)   Intercorporate   Services   Agreement   between   TIMET   and   Tremont
         Corporation, effective as of January 1, 2002 (incorporated by reference
         to  Exhibit  10.2 to  TIMET's  Quarterly  Report  on Form  10-Q for the
         quarter ended March 31, 2002).

(d)(3)   Shareholders' Agreement,  dated February 15, 1996, among TIMET, Tremont
         Corporation,   IMI  plc,  IMI  Kynoch  Ltd.,  and  IMI  Americas,  Inc.
         (incorporated  by  reference  to Exhibit  2.2 to Tremont  Corporation's
         Current Report on Form 8-K (File No. 1-10126) filed with the Securities
         and Exchange Commission on March 1, 1996).

(d)(4)   Amendment to the Shareholders'  Agreement,  dated March 29, 1996, among
         TIMET, Tremont Corporation,  IMI plc, IMI Kynoch Ltd. and IMI Americas,
         Inc.   (incorporated   by  reference   to  Exhibit   10.30  to  Tremont
         Corporation's  Annual  Report on Form 10-K (File No.  1-10126)  for the
         year ended December 31, 1995).

(d)(5)   Amended and Restated  Declaration  of Trust of TIMET  Capital  Trust I,
         dated as of November 20, 1996,  among Titanium Metals  Corporation,  as
         Sponsor,  JP Morgan  Chase Bank (f/k/a The Chase  Manhattan  Bank),  as
         Property Trustee, Chase Manhattan Bank (Delaware),  as Delaware Trustee
         and Joseph S. Compofelice,  Robert E. Musgraves and Mark A. Wallace, as
         Regular  Trustees  (incorporated by reference to Exhibit 4.2 to TIMET's
         Current  Report  on Form 8-K filed  with the  Securities  and  Exchange
         Commission on December 5, 1996.)

(d)(6)   Form  of 6  5/8%  Convertible  Preferred  Securities  (incorporated  by
         reference  to Exhibit 4.4 to TIMET's  Current  Report on Form 8-K filed
         with the Securities and Exchange Commission on December 5, 1996).

(d)(7)   Convertible  Preferred Securities  Guarantee,  dated as of November 20,
         1996, between TIMET, as Guarantor,  and JP Morgan Chase Bank (f/k/a The
         Chase Manhattan Bank), as Guarantee Trustee  (incorporated by reference
         to  Exhibit  4.7 to TIMET's  Current  Report on Form 8-K filed with the
         Securities and Exchange Commission on December 5, 1996).

(d)(8)   Indenture for the 6 5/8% Convertible Subordinated Debentures,  dated as
         of November  20,  1996 among TIMET and JP Morgan  Chase Bank (f/k/a The
         Chase Manhattan Bank), as Trustee (incorporated by reference to Exhibit
         4.3 to TIMET's Current Report on Form 8-K filed with the Securities and
         Exchange Commission on December 5, 1996).

(g)      None.

(h)      None.