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 ~~September~~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, ~~September~~October 3011, 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 anthe ~~amendment~~result to of the ~~Notice~~auction ofregarding the Voluntary Public Offering ~~published on August 9~~, ~~2010,~~ 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 ~~September~~October 288, 2010:

Embratel Participações S.A.

CNPJ/MF 02.558.124/0001-12

N.I.R.E. 3330026237-7

Notice of Material Fact

Embratel Participações S.A. (“Embrapar”), in ~~accordance~~in compliance with the provisions of Instruction no. 358/02 of the Brazilian Securities Commission (~~the~~Comissão de Valores Mobiliários - “CVM”), hereby informs the public in general ~~public~~ and its shareholders, that its subsidiary, Empresa Brasileira de Telecomunicações S.A. – EMBRATEL ~~(“Embratel”) was notified on September 27~~, ~~2010 by the technical division of the~~ ~~CVM~~registered ~~that~~at ~~the~~CNPJ/MF ~~maximum~~under ~~number of preferred shares that Embratel may acquire for purposes of Item 1~~no.3 33.1530.486/0001-29 ~~of the Notice of the Voluntary~~(“Embratel” ~~Public~~or ~~Offer (~~the “~~Tender Offer Notice~~Offeror”), ~~for~~in ~~the acquisition~~its ofvoluntary tender offer to purchase up to 100% (one hundred percent) of the preferred shares (other than ~~preferred~~ the shares held by Embrapar) ofissued ~~Net~~by Net Serviços de Comunicação S.A., a publicly-held company registered at CNPJ/MF under no. 00.108.786/0001-65 (“~~Net~~NET”), ~~published~~(the on“Tender ~~August 20~~Offer”), ~~2010, one-third of~~ through the ~~outstanding~~auction ~~preferred~~held on ~~shares~~October 7, ~~should~~2010 beconducted ~~calculated~~through ~~based on~~ the ~~number~~BM&FBOVESPA ~~of Net’s~~– ~~preferred~~BOVESPA, ~~shares~~acquired ~~outstanding on September 4~~143, ~~2000~~853,436 ~~equivalent~~of ~~to 1,237,789~~NET’s preferred shares ~~(the “CVM Opinion”). However~~, inrepresenting ~~the~~73% ~~event~~of ~~that~~NET’s ~~the~~outstanding ~~total number of~~ preferred shares ~~tendered~~held by ~~exceeds~~public ~~two-thirds~~shareholders, ofas ~~the~~defined ~~total~~by ~~preferred~~Brazilian ~~shares~~regulations, ~~outstanding~~ on the ~~date~~ date of the auction~~, Embratel must acquire all such tendered preferred shares~~.

~~Therefore,~~Because inthe ~~consideration~~number of ~~the~~preferred ~~CVM~~shares ~~Opinion~~acquired ~~and~~by ~~the~~Embratel ~~need for full disclosure~~ in ~~connection with~~ the ~~offer~~auction represented ~~documents~~more ~~filed~~than in2/3 ~~the United States~~ of ~~America,~~ ~~Embrapar~~the ~~and~~outstanding ~~Embratel~~preferred ~~hereby~~shares ~~inform~~of ~~their shareholders and~~NET ~~the~~held ~~general~~by public, ~~and in particular, Net’s~~ shareholders, ~~the decision,~~on ~~approved by~~ the ~~CVM,~~date toof ~~postpone~~ the auction, ~~date~~in tocompliance ~~October~~with 7,item ~~2010 at~~ 1.3~~:00 p~~.m.3 ~~Brasilia time. For purposes~~ of the Tender Offer Notice, ~~“Auction~~for ~~Date”~~a ~~means~~three ~~October~~month 7period, ~~2010,~~until atJanuary ~~3:00~~13, ~~p.m. Brasilia time. Therefore~~2011, the ~~dates~~owners toof ~~tender~~ the remaining outstanding preferred shares ~~into~~issued ~~the~~by ~~auction~~NET asmay ~~described~~sell intheir ~~item~~shares ~~4.1~~to of the ~~Tender Offer~~Offeror, ~~Notice~~at ~~are~~the ~~also~~price ~~postponed~~offered toin ~~October~~the 6,Tender ~~2010~~Offer , ~~until~~adjusted ~~6:00~~by ~~p.m.~~the monthly ~~Brasilia~~Brazilian ~~time~~Taxa Referencial (“TR”), pro ~~and~~rata ~~the auction settlement date~~temporis, as ~~described~~from inOctober ~~item 5.1~~13, of2010, the ~~Tender~~settlement ~~Offer~~date ~~Notice~~of the auction, isuntil ~~postponed~~the topayment ~~October 13, 2010~~date.

~~All~~Holders of preferred shares of ~~the~~NET can exercise this shareholder put right ~~other~~beginning ~~terms~~on ~~and~~October ~~conditions~~13 of ~~the~~2010 ~~tender~~by ~~offer~~going asto ~~described~~any inbranch of Banco Bradesco S.A. (“Bradesco”), the depositary ~~Tender~~institution ~~Offer~~for ~~Notice~~the shares of NET, asduring ~~amended~~business byhours, and submit the ~~Notice~~form to“Order of Transfer”, available at the ~~Market~~website ~~published~~of onEmbratel ~~August~~S.A. 31(www.embratel.com.br), ~~2010~~as ~~remain~~well as in any branch of Bradesco, together with all the ~~same~~identification documents listed therein.

~~Shareholders~~Payment for the exercise of ~~Net~~the ~~that~~shareholder ~~had~~put ~~elected~~shall tobe ~~participate~~made inthrough Bradesco, pursuant to the ~~auction~~banking oninformation ~~September 29,~~of ~~2010~~the ~~will~~beneficiary ~~have~~as provided in the ~~ability~~form toOrder ~~cancel~~of ~~their~~Transfer, ~~orders~~upon toanalysis ~~sell~~of ~~their~~the ~~preferred~~documents ~~shares~~and submission to Embratel.

A shareholder who is represented by an attorney-in-fact must deliver, in addition to the documents referred to above, the power of attorney in which the attorney-in-fact is empowered to exercise of the right to withdraw and request the reimbursement of the shares on behalf of such shareholder.

Rio de Janeiro, October 8 2010.

Embratel Participações S.A.

Isaac Berensztejn

Investor Relations Officer

About Telint

Telint is a Mexican holding company with subsidiaries located in Brazil, Colombia, Argentina, Chile, Peru and Ecuador. It aims at providing a wide 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 Peru.

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: ~~September~~October 3011, 2010. TELMEX INTERNACIONAL, S.A.B. DE C.V. By: __________________ Name: Oscar Von Hauske SolísTitle: Chief Executive Officer

Ref: Telmex Internacional, S.A.B. de C.V. informs to investor public

Filing Compare · Telmex Internacional, S.A.B. de C.V.