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 2010

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...X..

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

Mexico City, October 11, 2010 - Telmex Internacional, S.A.B. de C.V. (“Telint”) (BMV: TELINT; LATIBEX: XTII), hereby informs that its subsidiary, Embratel Participações S.A. has announced the result of the auction regarding the Voluntary Public Offering, for the purchase by Empresa Brasileira de Telecomunicações S.A. – EMBRATEL of up to 100% (one hundred percent) of the preferred shares (other than the shares owned by Embratel Participações S.A.), issued by Net Serviços de Comunicação S.A. The following is an English translation of the notice of material fact (fato relevante) published by Embratel Participações S.A. on October 8, 2010: Highlights

~~Embratel Participações~~Third ~~S.A.~~quarter 2010

~~CNPJ/MF 02.558.124/0001-12~~Consolidated relevant figures

NØ2010 accumulated consolidated revenues through September were the equivalent of 72.I512 billion pesos, an 11.~~R.E.~~1% increase compared with ~~3330026237-7~~the same period a year earlier.

~~Notice~~ØAt the end of ~~Material~~September ~~Fact~~2010, there were 21.9 million accesses or Revenue Generating Units (RGUs) in the different countries in which we operate, representing a 21.8% increase compared with the end of September 2009.

~~Embratel~~Ø2010 ~~Participações~~accumulated ~~S.A.~~consolidated EBITDA(~~“Embrapar”~~1)~~, in~~ ~~compliance~~totaled ~~with the provisions of Instruction no~~20.464 ~~358/02~~billion ~~of the Brazilian Securities Commission (Comissão de Valores Mobiliários - “CVM”)~~pesos, ~~hereby~~ ~~informs the public in general and its shareholders that~~a ~~its subsidiary, Empresa Brasileira de Telecomunicações S~~27.~~A. – EMBRATEL, registered at CNPJ/MF under no. 33.530.486/0001-29 (“Embratel” or the “Offeror”), in its voluntary tender offer to purchase up to 100~~0% ~~(one~~increase ~~hundred~~compared ~~percent)~~with of the ~~preferred~~same ~~shares (other~~period than the shares held by Embrapar) issued by Net Serviços de Comunicação S.A., a publicly-held company registered at CNPJ/MF under no. 00.108.786/0001-65 (“NET”) (the “Tender Offer”), through the auction held on October 7, 2010 conducted through the BM&FBOVESPA – BOVESPA, acquired 143,853,436 of ~~NET’s preferred shares, representing 73% of NET’s outstanding preferred shares held by public shareholders, as defined by Brazilian regulations, on~~ the ~~date of~~previous ~~the auction~~year.

~~Because~~ØFor the ~~number~~same ~~of preferred shares acquired by Embratel in the auction represented more than 2/3 of the outstanding preferred shares of NET held by public shareholders on the date of the auction~~period, inoperating ~~compliance with~~income ~~item~~totaled 19.~~3.3~~586 ofbillion ~~the Tender Offer Notice~~pesos, ~~for~~ a ~~three month period,~~ ~~until~~20.8% ~~January~~increase ~~13,~~compared ~~2011,~~with the ~~owners~~end of ~~the~~September remaining outstanding preferred shares issued by NET may sell their shares to the Offeror, at the price offered in the Tender Offer , adjusted by the monthly Brazilian Taxa Referencial (“TR”), pro rata temporis, as from October 13, 2010, the settlement date of the auction, until the payment date2009.

~~Holders~~ØCorresponding ofEBITDA ~~preferred~~and ~~shares~~operating ofincome ~~NET~~margins ~~can~~were ~~exercise~~28.2% ~~this~~and ~~shareholder put right beginning on October~~ 13 ~~of 2010 by going to any branch of Banco Bradesco S~~.~~A. (“Bradesco”), the depositary~~2% ~~institution for the shares of NET~~respectively, ~~during~~compared ~~business~~with ~~hours,~~24.7% and ~~submit the form “Order of Transfer”, available at the website of Embratel S~~12.A.2% ~~(www.embratel.com.br),~~for ~~as well as in any branch of Bradesco, together with all~~ the ~~identification~~same ~~documents~~period ~~listed~~a ~~therein~~year earlier.

~~Payment~~Ø2010 ~~for~~accumulated ~~the~~consolidated ~~exercise~~majority ofnet ~~the~~income ~~shareholder~~was ~~put~~5.289 ~~shall~~billion bepesos, or ~~made~~a ~~through Bradesco,~~25.7% ~~pursuant~~decrease tocompared with the ~~banking~~same ~~information~~period of ~~the~~last ~~beneficiary~~year. asThis ~~provided~~decrease incan ~~the~~be ~~form~~explained ~~Order~~by ofthe ~~Transfer,~~generation ~~upon analysis~~ of ~~the~~extraordinary exchange ~~documents~~rate ~~and~~gains ~~submission~~during ~~to Embratel~~2009.

AØAt ~~shareholder~~the ~~who~~end isof ~~represented~~September by2010, antotal ~~attorney-in-fact~~consolidated ~~must~~debt ~~deliver,~~was the equivalent inof ~~addition~~2.263 tobillion ~~the~~dollars. ~~documents~~Of ~~referred~~total debt, 19.1% was dollar-denominated. In order to ~~above,~~minimize the ~~power~~risk ofassociated ~~attorney~~with incurrency ~~which~~fluctuation, ~~the~~hedges ~~attorney-~~were in~~-fact~~ isplace ~~empowered~~for tothe ~~exercise~~equivalent of ~~the right~~206 tomillion ~~withdraw~~dollars, ~~and~~or ~~request~~47.7% of the ~~reimbursement~~dollar-denominated ofdebt. ~~the~~Net ~~shares~~debt (3) onwas ~~behalf~~the equivalent of ~~such~~ ~~shareholder~~1.785 billion dollars.

~~Rio de~~Relevant ~~Janeiro, October 8 2010.~~events

On October 7 2010, Empresa Brasileira de Telecomunicações, S.A. (Embratel) successfully completed a public offer aimed at acquiring ~~Participações~~ non-voting right, preferred shares of Net Serviços de Comunicação, S.A. (Net). The offer was launched simultaneously in Sao Paulo and New York. 143,853,436 preferred shares where acquired and the amount invested for this purpose was 1.9721 billion dollars. As a result of this transaction, our subsidiary in Brazil Embratel Participaçaões, S.A. (Embrapar) ’s direct and indirect share in Net’s capital changed from 35.38% to 77.32%.

~~Isaac~~As of January 1 ~~Berensztejn~~ 2010, financial statements for the Company will be presented in IFRS Format (International Financial Reporting Standards) both at the consolidated and subsidiary levels. Change to IFRS is mandatory for all publicly listed companies in Mexico. This changed must be made by all companies by January 1, 2012. The most relevant change in the income statement is the fact that revenues are presented net of sales commissions. All information in this report, including data from the third quarter 2009, was prepared using IFRS.

~~Investor~~(1) EBITDA: Defined as operating income plus depreciation and amortization. Please refer to www. telmexinternacional. com in the Investor Relations ~~Officer~~section, where you will find its calculation.

~~About~~(2) ~~Telint~~One ADR represents 20 shares.

~~Telint~~(3) isNet adebt ~~Mexican~~is ~~holding~~defined ~~company~~as ~~with~~total ~~subsidiaries~~debt ~~located~~less ~~in Brazil~~cash, ~~Colombia,~~ ~~Argentina,~~cash ~~Chile,~~equivalents ~~Peru~~ and ~~Ecuador. It aims at providing a~~ ~~wide~~marketable variety of telecommunication services, including voice, data, video transmission, paid cable and satellite television, internet access and complete telecommunication solutions as well as the services related to the yellow page directories in Mexico, USA, Argentina, Colombia and Perusecurities.

More information about Telint is available at www. telmexinternacional. com

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 1127, 2010. TELMEX INTERNACIONAL, S.A.B. DE C.V. By: __________________ Name: Oscar Von Hauske SolísTitle: Chief Executive Officer

Ref: Telmex Internacional, S.A.B. deDe C.V. ~~informs~~Press Release toThird ~~investor public~~Highlights

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