FORM 6-K

SECURITIES AND EXCHANGE COMMISSION
Washington, D.C. 20549

Report of Foreign Private Issuer

Pursuant to Rule 13a-16 or 15d-16 of

the Securities Exchange Act of 1934

For the month of October 2008

Commission File Number: 001-32741

Telmex Internacional, S.A.B. de C.V.

(Exact Name of the Registrant as Specified in the Charter)

Telmex International

(Translation of Registrant's Name into English)

Av. Insurgentes Sur 3500

Colonia Peña Pobre

México City 14060, México, D.F.

(Address of principal executive offices)

Indicate by check mark whether the registrant files or will file annual reports under cover Form 20-F or Form 40-F. Form 20-F.... Ö .....Form 40-F.........

Indicate by check mark if the registrant is submitting the Form 6-K in paper as permitted by Regulation S-T Rule 101(b)(1): ____

Indicate by check mark if the registrant is submitting the Form 6-K in paper as permitted by Regulation S-T Rule 101(b)(7): ____

Indicate by check mark whether by furnishing the information contained in this Form, the registrant is also thereby furnishing the information to the Commission pursuant to Rule 12g3-2(b) under the Securities Exchange Act of 1934.

Yes ..... No... Ö ..

If "Yes" is marked, indicate below the file number assigned to the registrant in connection with Rule 12g3-2(b): 82-

TELMEX INTERNACIONAL, S.A.B. DE C.V.

October 17, 2008

COPY OF INFORMATION SENT TO:

 

Bolsa Mexicana de Valores, S.A.B de C.V. and

National Banking and Securities Commission

Through the electronic system "EMISNET"

Re: Purchase of Shares of Telmex Internacional, S.A.B. de C.V.

 

On behalf of Telmex Internacional, S.A.B. de C.V. ("Telmex Internacional"), and in accordance with the resolutions adopted to such effect by the Board of Directors of Telmex Internacional at a meeting held on June 23, 2008 and at the general meetings of shareholders on July 9, 2007 , this is to inform you that, pursuant to the terms of Article 56 of the Securities Exchange Law and the applicable provisions of "Circular Unica de Emisoras" issued by the National Banking and Securities Commission, Telmex Internacional on October 17, 2008 acquired through market value purchases on the Bolsa Mexicana de Valores, S.A.B. de C.V . 5,000,000 class "L" shares of Telmex Internacional at an aggregate price of P.32,324,081.00.

This purchase was effected through Inversora Bursatil, S.A. de C.V., Casa de Bolsa Grupo Financiero Inbursa.

Sincerely,

Oscar Von Hauske Solís

Chief Executive Officer

TELMEX INTERNACIONAL, S.A.B. DE C.V.

October 16, 2008

COPY OF INFORMATION SENT TO:

 

Bolsa Mexicana de Valores, S.A.B de C.V. and

National Banking and Securities Commission

Through the electronic system "EMISNET"

Re: Purchase of Shares of Telmex Internacional, S.A.B. de C.V.

 

On behalf of Telmex Internacional, S.A.B. de C.V. ("Telmex Internacional"), and in accordance with the resolutions adopted to such effect by the Board of Directors of Telmex Internacional at a meeting held on June 23, 2008 and at the general meetings of shareholders on July 9, 2007 , this is to inform you that, pursuant to the terms of Article 56 of the Securities Exchange Law and the applicable provisions of "Circular Unica de Emisoras" issued by the National Banking and Securities Commission, Telmex Internacional on October 16, 2008 acquired through market value purchases on the Bolsa Mexicana de Valores, S.A.B. de C.V . 5,000,000 class "L" shares of Telmex Internacional at an aggregate price of P.32,999,674.00.

This purchase was effected through Inversora Bursatil, S.A. de C.V., Casa de Bolsa Grupo Financiero Inbursa.

Sincerely,

Oscar Von Hauske Solís

Chief Executive Officer

TELMEX INTERNACIONAL, S.A.B. DE C.V.

October 15, 2008

COPY OF INFORMATION SENT TO:

 

Bolsa Mexicana de Valores, S.A.B de C.V. and

National Banking and Securities Commission

Through the electronic system "EMISNET"

Re: Purchase of Shares of Telmex Internacional, S.A.B. de C.V.

 

On behalf of Telmex Internacional, S.A.B. de C.V. ("Telmex Internacional"), and in accordance with the resolutions adopted to such effect by the Board of Directors of Telmex Internacional at a meeting held on June 23, 2008 and at the general meetings of shareholders on July 9, 2007 , this is to inform you that, pursuant to the terms of Article 56 of the Securities Exchange Law and the applicable provisions of "Circular Unica de Emisoras" issued by the National Banking and Securities Commission, Telmex Internacional on October 15, 2008 acquired through market value purchases on the Bolsa Mexicana de Valores, S.A.B. de C.V . 6,000,000 class "L" shares of Telmex Internacional at an aggregate price of P.43,488,145.00 and 20,500 class "A" shares of Telmex International at an aggregate price of P.143,500.00.

This purchase was effected through Inversora Bursatil, S.A. de C.V., Casa de Bolsa Grupo Financiero Inbursa.

Sincerely,

Oscar Von Hauske Solís

Chief Executive Officer

TELMEX INTERNACIONAL, S.A.B. DE C.V.

October 14, 2008

COPY OF INFORMATION SENT TO:

 

Bolsa Mexicana de Valores, S.A.B de C.V. and

National Banking and Securities Commission

Through the electronic system "EMISNET"

Re: Purchase of Shares of Telmex Internacional, S.A.B. de C.V.

 

On behalf of Telmex Internacional, S.A.B. de C.V. ("Telmex Internacional"), and in accordance with the resolutions adopted to such effect by the Board of Directors of Telmex Internacional at a meeting held on June 23, 2008 and at the general meetings of shareholders on July 9, 2007 , this is to inform you that, pursuant to the terms of Article 56 of the Securities Exchange Law and the applicable provisions of "Circular Unica de Emisoras" issued by the National Banking and Securities Commission, Telmex Internacional on October 14, 2008 acquired through market value purchases on the Bolsa Mexicana de Valores, S.A.B. de C.V . 5,000,000 class "L" shares of Telmex Internacional at an aggregate price of P.38,925,818.00.

 

This purchase was effected through Inversora Bursatil, S.A. de C.V., Casa de Bolsa Grupo Financiero Inbursa.

Sincerely,

Oscar Von Hauske Solís

Chief Executive Officer

TELMEX INTERNACIONAL, S.A.B. DE C.V.

October 13, 2008

COPY OF INFORMATION SENT TO:

 

Bolsa Mexicana de Valores, S.A.B de C.V. and

National Banking and Securities Commission

Through the electronic system "EMISNET"

Re: Purchase of Shares of Telmex Internacional, S.A.B. de C.V.

 

On behalf of Telmex Internacional, S.A.B. de C.V. ("Telmex Internacional"), and in accordance with the resolutions adopted to such effect by the Board of Directors of Telmex Internacional at a meeting held on June 23, 2008 and at the general meetings of shareholders on July 9, 2007 , this is to inform you that, pursuant to the terms of Article 56 of the Securities Exchange Law and the applicable provisions of "Circular Unica de Emisoras" issued by the National Banking and Securities Commission, Telmex Internacional on October 13, 2008 acquired through market value purchases on the Bolsa Mexicana de Valores, S.A.B. de C.V . 4,500,000 class "L" shares of Telmex Internacional at an aggregate price of P.31,576,647.00.

This purchase was effected through Inversora Bursatil, S.A. de C.V., Casa de Bolsa Grupo Financiero Inbursa.

Sincerely,

Oscar Von Hauske Solís

Chief Executive Officer

 

 

SIGNATURE

Pursuant to the requirements of the Securities Exchange Act of 1934, the registrant has duly caused this report to be signed on its behalf by the undersigned, thereunto duly authorized.

Date: October 17, 2008.

TELMEX INTERNACIONAL, S.A.B. DE C.V.

By: __________________          

Name: Oscar Von Hauske Solís
Title: Chief Executive Officer

Ref: Telmex Internacional, S.A.B. de C.V. Buyback from October 13 to October 17, 2008.

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