Document:

<PAGE>
                                                                    EXHIBIT 10.8

                      FORM OF KRONOS COST SHARING AGREEMENT

                                     between

1.       KRONOS INTERNATIONAL, INC., a corporation organized under the laws of
         the State of Delaware/USA, with its principal office and seat of
         management in Leverkusen, Germany (hereinafter being referred to as
         "KII").

2.       KRONOS EUROPE S.A./N.V., a corporation organized under the laws of the
         Kingdom of Belgium with its registered office at Gent, Belgium
         (hereinafter being referred to as "KEU").

3.       KRONOS (US), INC., a corporation organized under the laws of the State
         of Delaware (USA), with its principal office in Houston, Texas
         (hereinafter being referred to as "KUS").

4.       NL INDUSTRIES, INC., a corporation organized under the laws of the
         State of New Jersey (USA), with its principal office in Houston, Texas
         (hereinafter being referred to as "NL").

5.       KRONOS TITAN GmbH & Co. OHG, a corporation organized under the laws of
         the Federal Republic of Germany with its seat in Leverkusen, Germany
         (hereinafter being referred to as "TG").

6.       SOCIETE INDUSTRIELLE du TITANE S.A., a corporation organized under the
         laws of the Republic of France, with its registered office at Paris,
         France (hereinafter being referred to as "SIT").

7.       KRONOS TITAN A/S, a corporation organized under the laws of the Kingdom
         of Norway, with its seat in Fredrikstad, Norway (hereinafter being
         referred to as "TAS").

8.       TITANIA A/S, a corporation organized under the laws of the Kingdom of
         Norway, with its seat in Hauge i Dalane, Norway (hereinafter being
         referred to as "TIA").

9.       KRONOS LTD., a corporation organized under the laws of the United
         Kingdom with its registered office at Wilmslow, Cheshire, United
         Kingdom (hereinafter being referred to as "KUK").

10.      KRONOS CANADA, INC., a corporation incorporated under the laws of the
         Dominion of Canada with its registered office at Montreal, Canada
         (hereinafter being referred to as "KC").

11.      KRONOS DENMARK ApS, a corporation organized under the laws of Denmark,
         with its registered office at Holte, Denmark (hereinafter being
         referred to as "KDK").

12.      KRONOS LOUISIANA INC., a corporation organized under the laws of the
         state of Delaware (USA), with its principal office in Houston, Texas
         (hereinafter being referred to as "KLA").

<PAGE>

Whereas, some of the parties hereto are parties to a cost sharing agreement
dated December 31, 1993 (hereinafter referred to as the "1993 KRONOS Cost
Sharing Agreement").

Whereas, KII has been organized with its seat of management in Germany in order
to improve the worldwide coordination of management experience and in order to
improve the position of the group in a unified European market.

Whereas, the parties hereto intend to rationalize the separate management
responsibilities for the TiO2 business.

Whereas, the parties hereto wish to maximize their individual and collective
profitability.

Whereas, TIA is engaged in the business of mining ilmenite which is a raw
material necessary to the production of TiO2.

Whereas, the other parties hereto are engaged in either or both of the
businesses of manufacturing and selling TiO2.

Whereas, KUS has expertise in:

         o        Information Systems

         o        Business Operations and Strategies

         o        Executive Management

         o        Credit and Collections

Whereas, KEU has expertise in:

         o        Sales and marketing of TiO2

         o        Information Systems

         o        Finance and Control

         o        Treasury, Credit, Collections, Factoring

Whereas, KII has expertise in:

         o        Customer Support

         o        Advertising

         o        Logistics

         o        Finance & Control

         o        Human resources and Legal

         o        Purchasing

         o        Production management

         o        Engineering

These areas of expertise of KUS, KEU and KII being hereinafter referred to as
the "Common Areas of Interest".

Whereas, pursuant to the Services Agreement between NL and KUS dated January 1,
1995 (the "NL-KUS Agreement"), NL provides Tax Planning and Compliance services,
Internal Audit services (including the services of the Internal Auditor employed
by KEU) and Risk

<PAGE>

Management services (including Risk Management services provided by NL through
Contran Corporation) to KUS and other parties to this agreement and charges KUS
for all such services.

Whereas the services of the Internal Auditor employed by KEU are under the
direct supervision of the NL Internal Audit Department and are used for the
benefit of other parties to this agreement.

Whereas, the parties hereto desire to benefit from the expertise of KUS, KEU and
KII in the Common Areas of Interest.

Now, therefore, the parties hereto agree to what follows:

1.       The old KRONOS Cost Sharing Agreement is terminated effective December
         31, 2001.

2.       KUS, KEU and KII shall advise, and coordinate the activities of the
         parties hereto in the Common Areas of Interest. In order to achieve a
         close cooperation in the Common Areas of Interest, the contracting
         parties shall be entitled to draw on the experience of KUS, KEU and KII
         on demand.

3.       In their capacity as parties to this agreement KUS, KEU and KII have a
         mere advisory capacity and shall in no event be authorized to give
         binding directions to the other parties to this agreement or to act in
         their name or as their agent.

4.       In order to compensate KUS, KEU, and KII for the continued extension of
         advice in the Common Areas of Interest, the parties hereto shall share
         the costs of KUS, KEU, and KII in the Common Areas of Interest.
         Further, in order to compensate KUS for NL costs charged under the
         NL-KUS Agreement for services rendered by NL to KUS as well as to other
         parties to this agreement, the parties hereto shall share such NL
         costs. The costs to be shared or other compensation agreed to, shall
         hereinafter be referred to as the "Reimbursable Costs". Any withholding
         tax or value added tax that shall arise with respect to any payment
         hereunder shall be for the account of the recipient of the services and
         will be payable in addition to the amount of Reimbursable Costs payable
         hereunder.

5.       The parties hereto shall, before the beginning of each calendar year,
         agree on the budgeted amounts of Reimbursable Costs and the allocation
         method to be applied for the coming year. The initial method of
         allocation is attached hereto as Exhibit 1. Such allocation method may
         with mutual agreement be revised from time to time. All amounts on
         which the allocation is based shall be computed in US-$ for KUS and
         Euros for KEU and KII at the exchange rates applicable for the planning
         cycle.

6.       KUS, KII and KEU shall charge quarterly in advance, based on their
         budgeted amounts for such quarter and on budgeted allocation keys, the
         participating parties hereto. Such payables of the participating
         parties are netted within the KRONOS netting system the first month of
         that quarter. After the end of each calendar year, KUS, KII and KEU
         shall each determine the annual total actual amount of its respective
         Reimbursable Costs and the final share of each obligated party and
         shall issue, based on actual allocation keys, a credit or debit note,
         as the case may be. All charges shall be made in the currency of the
         charging unit.

<PAGE>

7.       All internal audit costs of KEU shall be charged to NL. Internal audit
         costs charged to KUS by NL under the NL-KUS Agreement (which shall
         include a portion of the internal audit costs charged by KEU to NL),
         shall be charged to other parties to this agreement on a per diem basis
         as internal audit services are rendered to such parties. Per diem rates
         for such services shall be determined based on relevant salary,
         benefit, travel and other costs of the individuals performing and
         supervising such services.

8.       Information Services from KUS shall be charged on a direct allocation
         basis as determined by the Director of IS.

9.       Engineering charges from KII shall be charged on a direct allocation
         basis as determined by the KII Director of Engineering.

10.      This agreement shall commence on January 1, 2002 and shall continue to
         be effective unless it is cancelled by any party giving three months
         advance written notice preceding the start of the next calendar year.

11.      This agreement shall be governed by the laws of the Federal Republic of
         Germany

12.      In case a successor should take over the business of a party to this
         agreement, in whole or in part, such successor shall assume the rights
         and obligations of the transferring party.

13.      Any disputes arising out of or in connection with this agreement shall
         be settled by arbitration. The court of arbitration shall consist of
         three arbiters. The claimant and the defendant shall each appoint one
         arbiter; in the case of a plurality of parties on any one side, such
         parties must appoint a single arbiter jointly. If they cannot agree on
         a common arbiter, their arbiter shall be appointed by the German
         Institution for Arbitration (Deutsche Institution fur
         Schiedsgerichtsbarkeit e.V., Schedestrasse 13, 53113 Bonn). The two
         arbiters shall appoint a third arbiter; if they cannot agree, the third
         arbiter shall also be appointed by the German Institution for
         Arbitration. The location for any arbitrations shall be Leverkusen,
         Germany, unless another location is jointly agreed upon.

Made as of December 31, 2001

<PAGE>

                                           Kronos Cost Sharing Agreement
                                             Effective January 1, 2002

                                                     Kronos International, Inc.
                                                     by:

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

                                                     Kronos Europe S.A/N.V.
                                                     by:  E. Van der Auwera

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

                                                     Kronos (US), Inc.
                                                     by:

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

                                                     NL Industries, Inc.
                                                     by:

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

<PAGE>

                                  Kronos Cost Sharing Agreement
                                    Effective January 1, 2002

                                            Kronos Titan GmbH & Co. OHG.
                                            by:

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

                                            Societe Industrielle du Titane S.A.
                                            by:  E. Van der Auwera

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

                                            Kronos Titan A/S
                                            by:

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

                                            Titania A/S
                                            by:

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

                                            Kronos Ltd.
                                            by:

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

<PAGE>

                                           Kronos Cost Sharing Agreement
                                             Effective January 1, 2002

                                                     Kronos Canada, Inc.
                                                     by:

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

                                                     Kronos Denmark ApS
                                                     by:

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

                                                     Kronos Louisiana Inc.
                                                     by:

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

<PAGE>

                          KRONOS COST SHARING AGREEMENT
                            EFFECTIVE JANUARY 1, 2002
                                    EXHIBIT 1

                           INITIAL ALLOCATION METHODS

Note:    Direct allocations include direct monetary allocation of a percent of a
         total expense, per diem allocations, and hourly allocations.

<Table>
<Caption>

Billing Unit            Function                                             Allocation Method
------------            --------                                             -----------------
<S>                     <C>                                                  <C>
KUS                     Information Systems                                  Direct Allocations as determined by Director of IS
                                                                             based on specific services provided to KC, KEU, and
                                                                             TG.

                        Business Operations and Strategies                   Direct allocation, allocated and apportioned to TIA
                                                                             and producing units by: direct allocation to TIA,
                                                                             with balance of allocation apportioned to producing
                                                                             units based on their 2002 rated production capacity.

                        NL Tax Planning and Compliance                       Direct allocation, allocated and apportioned to TIA
                                                                             and producing units by: direct allocation to TIA,
                                                                             with balance of allocation apportioned (to TG, KC,
                                                                             KEU and TAS) based on their 2002 rated production
                                                                             capacity.

                        NL Risk Management                                   50% of costs apportioned to all parties to the
                        (including services provided by NL                   agreement (except KDK and KLA) based on 2002 budgeted
                        through Contran)                                     insurance premiums; 50% of costs allocated to same
                                                                             parties based on physical assets (net PP&E and
                                                                             Inventory as of 9/30/01).

                        NL Internal Audit                                    Per diem allocations based on time spent as
                                                                             determined by the Director, Internal Audit and
                                                                             Consulting.

                        Credit and Collections                               Direct allocation of 25% of credit manager's
                                                                             compensation plus related expenses.

KEU
                        Sales and Marketing                                  Direct allocation: part thereof directly allocated to
                                                                             KII and TIA and balance thereof apportioned to TG,
                                                                             KEU and TAS based on their 2002 production capacity.
</Table>

<PAGE>

<Table>
<S>                     <C>                                                  <C>

                        Information Systems                                  Costs charged out based on CPU usage and number of
                                                                             users to KEU, TG, TAS, TIA, KUK, SIT, -*-KII, and
                                                                             KDK.

                        Finance & Control                                    Direct allocation by KEU Controller to SIT and KUK,
                                                                             units for which he is functionally responsible.

                        Treasury, Credit, Collections, Factoring             100% of costs incurred for services rendered to KII.

                        Customer Support                                     Direct allocation (to exclude TAS), apportioned to
KII                                                                          TG, KEU and KC based on their 2002 rated production
                                                                             capacity, with apportionment to KC based on only 10%
                                                                             of its rated production capacity.

                        Advertising                                          Apportioned to TG, KEU and TAS based on their 2002
                                                                             rated production capacity.

                        Logistics                                            Direct allocation, apportioned to TG, KEU, TAS and
                                                                             KII based on their budgeted 2002 distribution
                                                                             expenses.

                        Finance & Control                                    Direct allocation by KII Controller to KDK, for which
                                                                             he is functionally responsible. Direct allocation (to
                                                                             exclude certain costs) apportioned to TG, KEU, TAS,
                                                                             TIA, KUK, SIT, KII and KC based on their 2002 AOP
                                                                             trade sales.

                        Human Resources & Legal                              Direct allocation (to exclude certain costs)
                                                                             apportioned to TG, KEU, KWS, TAS, TIA, KUK, SIT and
                                                                             KII based on their projected plan headcounts as of
                                                                             year end 2002. Certain of the excluded costs are then
                                                                             apportioned based on 2002 AOP trade sales to TG, KEU,
                                                                             TAS, TIA, KUK and SIT.

                        Purchasing                                           Direct allocation (to exclude certain costs),
                                                                             apportioned to TG, KEU and TAS based on their
                                                                             budgeted 2002 purchases.

                        Production Management                                Direct allocation, allocated and apportioned by
                                                                             direct allocation to TIA, with balance apportioned
                                                                             based on their 2002 rated production capacity to TG,
                                                                             KEU, TAS and KC.

                        Engineering                                          Hourly allocations based on time spent as determined
                                                                             by KII Director of Engineering.
</Table><PAGE>

                                                                    EXHIBIT 10.9

                   FORM OF ASSIGNMENT AND ASSUMPTION AGREEMENT

         This Assignment and Assumption Agreement is made and entered into as of
January 1, 1999, by and between Kronos, Inc., a Delaware corporation formerly
known as Kronos (USA), Inc. ("Kronos"), and Kronos International, Inc., a
Delaware corporation ("Kronos Int'l").

         WHEREAS, Kronos, pursuant to a contribution to the capital of Kronos,
Int'l, in exchange for six hundred forty-seven (647) shares of Class B Preferred
Stock (the "Preferred Stock") of Kronos, Int'l, issued pursuant to the
Certificate of Amendment to Certificate of Incorporation of Kronos
International, Inc. in the form attached hereto as Exhibit A and incorporated
herein by reference, desires to assign its right, title and interest in and to
intellectual property relating to titanium dioxide products to Kronos Int'l in
the countries of Belgium, Canada and Norway, as well as Kronos' licenses to
affiliate in such countries, and Kronos Int'l desires to issue the Preferred
Stock in exchange for such intellectual property and to assume all of Kronos'
obligations thereunder;

         WHEREAS, Kronos and Kronos Int'l agree upon the valuation of such
intellectual property as set forth on Exhibit B attached hereto and incorporated
herein by this reference, which valuation is based upon methodologies
appropriate to third party, arms' length transactions;

         NOW, THEREFORE, in consideration of their mutual covenants and
agreements hereinafter set forth and intending to be legally bound hereby, the
parties hereto covenant and agree as follows:

                                 I. DEFINITIONS

         1.1 "Copyrights" means all copyrights, copyright registrations and
applications for copyright registrations which relate to the Products and which
are owned or controlled by, or recorded in the name of, Kronos in the Territory.

         1.2 "Intellectual Property" means the Patents, Technology, Trademarks
and Copyrights.

         1.3 "License Agreements" means those license agreements listed on
Schedule I between Kronos and its affiliates which license certain Intellectual
Property to those affiliates in the Territory.

         1.4 "Patents" means all patents and patent applications, together with
any and all continuations, continuations-in-part, extensions, reissues,
reexaminations and divisions thereof, and all inventions disclosed and claimed
therein, which relate to the Products and the Technology and which are owned or
controlled by, or recorded in the name of, Kronos in the Territory.

         1.5 "Products" means titanium dioxide products.

         1.6 "Technology" means any and all technical information, improvements,
discoveries, inventions, know-how, formulations, processes, techniques and data
which relate to

<PAGE>

the manufacture, use and sale of Products and which are owned or controlled by
Kronos in the Territory.

         1.7 "Territory" means Belgium, Canada and Norway.

         1.8 "Trademarks" means all tradenames, trademarks, trademark
registrations and applications, and the goodwill associated therewith, relating
to the Products, and which are owned or controlled by, or recorded in the name
of, Kronos in the Territory.

              II. ASSIGNMENT OF RIGHTS RELATING TO TITANIUM DIOXIDE

         2.1 Patent and Technology Assignment. Kronos hereby grants, conveys and
assigns to Kronos Int'l effective as of January 1, 1999 Kronos' entire right,
title and interest in and to the Patents and Technology.

         2.2 Copyright Assignment. Kronos hereby grants, conveys and assigns to
Kronos Int'l effective as of January 1, 1999 Kronos' entire right, title and
interest in and to the Copyrights.

         2.3 Trademark Assignments. Kronos hereby grants, conveys and assigns to
Kronos Int'l effective as of January 1, 1999 Kronos' entire right, title and
interest in and to the Trademarks.

         2.4 License Agreement Assignment. Kronos hereby grants, conveys and
assigns to Kronos Int'l effective as of January 1, 1999 Kronos' entire right,
title and interest under the License Agreements.

         2.5 Confidentiality. Kronos hereby agrees to maintain the
confidentiality of any confidential information assigned hereunder, except to
the extent that such confidential information has entered, or comes into, the
public domain.

                                 III. ASSUMPTION

         3.1 Assumption. Kronos Int'l hereby accepts effective as of January 1,
1999 the assignment of the Intellectual Property effected hereunder and
expressly assumes and agrees unconditionally to be bound by and to pay, observe,
perform, fulfill and discharge, all of the covenants, agreements, conditions,
terms, taxes, duties and obligations of Kronos in respect of the Intellectual
Property and the License Agreements. Kronos will promptly send notice of
assignment substantially in the form set forth on Schedule II attached hereto to
each of the licensees under the License Agreements. Kronos shall, without
further consideration therefor, promptly pay, assign and remit to Kronos Int'l
all monies, rights and other consideration received in respect of performance of
the License Agreements at any time after January 1, 1999.

                                IV. MISCELLANEOUS

         4.1 Further Assurances. From time to time after delivery of this
instrument, at either party's request, the other party shall do, execute,
prepare, acknowledge and deliver or cause to be done, executed, prepared,
acknowledged and delivered, such further acts, conveyances, transfers,
assignments and assurances as the first party may reasonably request to more
effectively convey

<PAGE>

or transfer to Kronos Int'l, and to put Kronos Int'l in possession of, the
Intellectual Property, or for Kronos Intl'l to more effectively assume any
obligations under the Intellectual Property being assumed by Kronos Int'l
hereunder.

         4.2 Successors and Assigns. All of the covenants, terms and conditions
set forth in this Agreement shall be binding upon and shall inure to the benefit
of the parties hereto and their respective successors and assigns.

         4.3 Counterparts. This Agreement may be executed in one or more
counterparts, each of which shall be deemed an original for all purposes and all
of which together shall constitute one and the same instrument.

         IN WITNESS WHEREOF, the parties hereto have caused this Assignment and
Assumption Agreement to be executed by their duly authorized representatives as
of the date first written above.

KRONOS, INC.                                KRONOS INTERNATIONAL, INC.

By:                                         By:
   -------------------------------             ---------------------------------

Title:                                      Title:
      ----------------------------                ------------------------------

                                            By:
                                               ---------------------------------

                                            Title:
                                                  ------------------------------

<PAGE>

EXHIBIT B

KRONOS INTERNATIONAL, INC.                                             22-FEB-99
VALUATION OF ROYALTY CONTRACTS                               PAGE 1/2 OF SUMMARY

SUMMARY:

<Table>
<Caption>
                                                                                              VALUE
                             ROYALTY RATE         PRODUCT    BASE                             YSD 000'S
<S>                          <C>                  <C>        <C>                              <C>           <C>
Kronos Titan A/S             5.00%                Sulphate   All sales                                      $ 31,717
Titania A/S                  2.00%                Ilmenite   Ilmenite sales                                 $  6,281
Kronos Europe S.A./N.V.      5.00%                Chloride   All sales                                      $ 80,992
Kronos Canada, Inc.          5.00%                Chloride   All sales                        $73,856
Kronos Canada, Inc.          2.25%                Sulphate   All sales in Canadian market     $11,080
                                                                                                            $ 84,936
                                                                                                            $203,926
                             Less: Risk factor of 20%                                                        (40,785)
                                                                                                            --------
                                                                                                             163,141
</Table>

ASSUMPTIONS USED IN THE CALCULATIONS

Value based on present value of cash flows for the 15-year period 1999-2013.

Discount rate of 6.5%

One-half of the royalty is paid at mid-year and one-half at the end of the year.

Tonnage of TiO2 and ilmentite sold is according to 7-year plan nos. For 8th
through 15th year, it is assumed that plan results for the 7th year are
constant.

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