TELEFONOS DE MEXICO, S.A.B. DE C.V. PRESS RELEASE: TELMEX INFORMS THAT IT OBTAINED A FAVORABLE RESOLUTION ON THE CONVERGENCE AGREEMENT TO OFFER AUDIO AND VIDEO SERVICES, MAY 11, 2011.

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 May 2011

Commission File Number: 333-13580

Teléfonos de México, S.A.B. de C.V.

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

Telephones of Mexico

(Translation of Registrant's Name into English)

Parque Vía 190

Colonia Cuauhtémoc

México City 06599, 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-

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Teléfonos de México, S.A.B. de C.V. informs that it obtained a favorable resolution on the Convergence Agreement to offer audio and video services

Mexico City, May 11, 2011. Teléfonos de México, S.A.B. de C.V. (BMV: TELMEX; NYSE: TMX; NASDAQ: TFONY, LATIBEX: XTMXL) announced that it was granted a favorable resolution on the Convergence Agreement to offer audio and video services.

The Federal Courts awarded Teléfonos de Mexico, the protection of the federal justice in order for the Communications and Transportation Minister, to resolve, according to law, TELMEX’s request to offer audio and video services pursuant to the terms of the Convergence Agreement, taking into account that COFETEL issued a favorable opinion of compliance with the requirements imposed on TELMEX.  As a result, the Communications and Transportation Minister must resolve accordingly within the obligatory time frame.

TELMEX is a corporation made up of Teléfonos de México, S.A.B. de C.V., its subsidiaries and affiliates that provides telecommunications services in Mexico. The company’s service coverage comprises the operation of the nation’s most complete local and long distance networks. Additionally, TELMEX offers services like connectivity, Internet access, co-location, web hosting and interconnection services to other telecommunications operators. More information about TELMEX can be accessed on the Internet at www.telmex.com

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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: May 11, 2011.

TELÉFONOS DE MÉXICO, S.A.B. DE C.V.

By: _________________________

Name: Adolfo Cerezo Pérez
Title: Chief Financial Officer

Ref: Teléfonos de México, S.A.B. de C.V. PRESS RELEASE: TELMEX INFORMS THAT IT OBTAINED A FAVORABLE RESOLUTION ON THE CONVERGENCE AGREEMENT TO OFFER AUDIO AND VIDEO SERVICES , MAY 11, 2011.