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. 3)

                              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: |X|






         This  Amendment  No.  3 is the  final  amendment  to,  and  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 and  Amendment  No. 2
thereto filed on May 23, 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.

         Section 10 of the  Schedule TO is hereby  amended and  supplemented  by
adding the following to the end thereof:

         "The Offer  expired at 12:00  midnight,  New York City time, on Monday,
June 2, 2003. Based on the information  provided by the Depositary to Purchaser,
14,700  Securities  had been  tendered and not withdrawn  (including  guaranteed
deliveries).  Purchaser has accepted such  Securities  for purchase and payment.
Purchaser  has issued a press  release,  a copy of which is  attached  hereto as
Exhibit (a)(8) and 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.*

(a)(8)   Press Release issued by Purchaser on June 3, 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.






         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:  June 3, 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.*

(a)(8)   Press Release issued by Purchaser on June 3, 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.