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
                                (Amendment No. 2)

                              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.





|X|  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:   $2,000                 Filing Party:  Valhi, Inc.
     Form or Registration No.:  Schedule TO           Date Filed:    May 5, 2003

|_|  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:

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

|_|  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 Amendment No. 2 amends and  supplements  the Tender Offer Statement on
Schedule TO filed on May 5, 2003, as amended by Amendment No. 1 thereto filed on
May 16,  2003 (as  amended,  the  "Schedule  TO") by  Valhi,  Inc.,  a  Delaware
corporation ("Purchaser").  The 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 were attached to the Schedule TO 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").
Capitalized  terms used and not otherwise defined herein shall have the meanings
assigned to them in the Offer to Purchase or the Schedule TO.

Item 4. Terms of the Transaction.

     Item 4 of the Schedule TO is hereby amended and supplemented to include the
following information:

     The fifth bullet point of Section 11 of the Offer to Purchase on page 20 is
amended and restated to read in its entirety as follows:

          o    "there shall have occurred,  exist or be likely to occur or exist
               any event or series of events or condition  that, in  Purchaser's
               sole judgment,  (a) could  prohibit,  prevent,  restrict or delay
               consummation of the Offer;  (b) could have material  significance
               with  respect  to the  value  of  the  Securities;  or (c)  could
               materially and adversely affect Purchaser's and its subsidiaries'
               business,  assets,  condition  (financial or otherwise),  income,
               operations or prospects or stock ownership,  taken as a whole, or
               otherwise  materially  impair in any way the contemplated  future
               conduct of Purchaser's business;"

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

     Item 6 of the Schedule TO is hereby amended and supplemented to include the
following information:

     Section  10 of the  Offer  to  Purchase  on page 19 is  amended  to add the
following as the second paragraph of such Section:

          "Purchaser did not base its determination of the terms of the Offer on
     any third-party appraisal or valuation.  Purchaser established the terms of
     the Offer  without any  arms-length  negotiation.  Purchaser  does not know
     whether the Per Security  Amount  reflects the value that would be realized
     upon a sale of the  Securities to another  party.  Security  holders may be
     able to obtain a higher  price for their  Securities  now or in the  future
     from another party. Purchaser also considered the highly cyclical nature of
     TIMET's  business as  described  above,  and relied on its own  judgment to
     determine the Per Security  Amount.  Purchaser  further  considered its own
     financial  position and prospects and  potential  alternative  uses for its
     cash,  and  Purchaser's  general  assessment  of the risk of, and potential
     return on, an investment in the Securities.  Based on these considerations,
     Purchaser determined to offer to pay $10.00 per Security in the Offer."

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.

*    Incorporated  by  reference to the Schedule TO filed by Purchaser on May 5,
     2003.

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 23, 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.

*    Incorporated  by  reference to the Schedule TO filed by Purchaser on May 5,
     2003.