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Exhibit 4.(a).58

February 7, 2005

Via Facsimile:
(054-781-4193)

Partner Communications
Company Ltd.8 Amal Street Afeq Industrial ParkRosh-Haayin 48103IsraelAttn.: Amikam Cohen and Alan Gelman

| | Re:
Share Buy Back
| | ------------------

Dear Sirs:

The
shareholders of Partner Communications Company Ltd., an Israeli company
(Partner), set forth on Schedule A hereto (the Israeli
Shareholders), severally and not jointly, desire to sell Ordinary Shares, par value
NIS 0.01 per share, of Partner (Shares), to Partner, pursuant to the terms and
conditions set forth below (the Buy Back):

1.       
          Offer to Partner. The Israeli Shareholders, severally and not jointly,
          hereby irrevocably offer to sell to Partner the number of Shares set forth
          opposite their respective names on Schedule A hereto, subject to the terms and
          conditions set forth herein. As detailed on said Schedule A, the total number of
          Shares offered to Partner hereby, and the number of Shares offered by each
          Israeli Shareholder, shall vary depending on whether or not Matav Investments
          Limited (Matav) elects to participate in the Buy Back pursuant to
          paragraph 3(a) below.

2.       
          Buy Back Price. The sale price per Share in the Buy Back (the Buy
          Back Price) shall equal 90% of the Volume Weighted Average Price/VWAP of
          the Company on the Tel Aviv Stock Exchange (as determined by Bloomberg) over the
          20 trading days immediately preceding the day before the date of the Partner
          shareholder meeting that approves the Buy Back; provided, however, that in no
          event shall the Buy Back Price be lower than NIS 31.0412 or higher than NIS
          32.2216.

3.       
          Matav Participation Option and Put Option.

| | (a)                 Matav
shall have the option to participate in the Buy Back by offering and           selling to
Partner in the Buy Back the number of Shares set forth opposite           Matavs
name on Schedule A hereto (the Matav Participation           Option). The
Matav Participation Option shall be exercisable, in whole but           not in part,
until the end of the second business day immediately preceding the           scheduled
closing of the Buy Back by delivering written notice to each of the           other
Israeli Shareholders and to Partner. The other Israeli Shareholders shall
          notify Matav of such scheduled closing at least four business days prior
          thereto.
| | ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------



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| | (b)                 In
the event that Matav shall not have exercised the Matav Participation Option,
          then, for a period of 90 days following the closing of the Buy Back, Matav
shall           have the option to sell to the other Israeli Shareholders, severally and
not           jointly, the number of Shares set forth opposite the respective names of
the           other Israeli Shareholders on Schedule B hereto (the Matav
          Put Option). The price per share of the Matav Put Option shall equal the
          Buy Back Price, plus the interest accrued on the escrowed amount described
          below. In the event that Matav shall not have exercised the Matav Participation
          Option, then, promptly following the closing of the Buy Back, the other Israeli
          Shareholders, severally and not jointly, shall deposit with G.L.E. Trust
          Services Ltd., as escrow agent, an amount equal to the product of the Buy Back
          Price times the number of Shares set forth opposite their respective
          names on Schedule B hereto. As soon as practicable after the date hereof, the
          Israeli Shareholders shall negotiate in good faith to enter into an Escrow
          Agreement with such escrow agent. In the event that Matav shall have exercised
          neither the Matav Participation Option nor the Matav Put Option, then Matav
          shall be solely responsible for maintaining the minimum required holding of
          Israelis (the Required Israeli Percentage) under the license (the
          License) granted to Partner by the Israeli Ministry of
          Communications (the MOC).
| | --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

4.        
Reserved

5.       
          Conditions to Closing. The closing of the Buy Back shall be subject to
          the satisfaction of the following conditions (the Conditions), all
          to be upon reasonable terms and conditions. Partner shall have the right to
          waive any of the Conditions, provided that any such waiver does not involve a
          violation of law, regulation (including the License) or rule:

| | (a)                 receipt
of financing by Partner of approximately $250 million from its lending           banks to
finance the Buy Back (the Financing) and amendment of the           Senior
Credit Facility, dated August 13, 1998, among Partner and its lending           banks, as
amended (the Credit Facility) to the extent required to           effect the
Buy Back;
| | -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

| | (b)                 approval
of the Buy Back and the Financing by the shareholders of Partner           pursuant to
Section 275 of the Israeli Companies Law, including the amendment of           Partners
Articles of Association, to the extent required to effect the Buy           Back;
| | ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

| | (c)                 receipt
of the consent from Partners lending banks to release the secured
          guarantees of the Credit Facility granted by shareholders of Partner (and
          related Share pledges), Provided that if the banks so require, Partner may
agree           that the Shares may be purchased subject to the related Share pledges,
and in           which case this condition shall be deemed to have been satisfied;
| | -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

| | (d)                 approval
of the MOC pursuant to the License of the transfer of 10% or more of           Partners
means of control in the Buy Back;
| | -------------------------------------------------------------------------------------------------------------------------------------------------------

| | (e)                 amendment
to the License lowering the Required Israeli Percentage from 20% to no           greater
than 5%, provided, however, that if the Required Israeli Percentage           shall be
lowered to a percentage between 9% and 5.1%, then this condition shall           be
deemed to have been satisfied and the number of Shares to be sold to Partner           in
the Buy Back shall be reduced by a percentage of outstanding Shares equal to
          the difference between the new Required Israeli Percentage and 5%, which
          reduction shall be allocated among the respective Israeli Shareholders pro rata
          based on the respective numbers of Shares set forth in Schedule A hereto;
| | -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

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| | (f)                 approval
of the Israeli Controller of Restrictive Trade Practices to Hutchison
          Telecommunications International Ltd. (Hutchison) and its
affiliates           controlling more than 50% of Partner; and
| | ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

| | (g)                 no
Israeli Shareholder shall have defaulted on its offer to sell Shares in the           Buy
Back.
| | ----------------------------------------------------------------------------------------------------------------------

6.       
          Representations and Warranties.Each Israeli Shareholder, with
          respect to itself only, severally and not jointly, hereby represents and
          warrants to Partner as follows:

| | (a)                 Such
Israeli Shareholder is the record and beneficial owner of the number of           Shares
set forth opposite such Israeli Shareholders name on Schedule A           under the
caption with Matav.
| | ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

| | (b)                 This
letter agreement has been executed and delivered by such Israeli           Shareholder,
and, assuming due authorization, execution and delivery by all           other parties
hereto, this letter agreement constitutes a legal, valid and           binding obligation
of such Israeli Shareholder, enforceable against it in           accordance with its
terms, except (A) as limited by applicable bankruptcy,           insolvency,
reorganization, moratorium and other laws of general application           affecting
enforcement of creditors rights generally and (B) as           limited by laws
relating to the availability of specific performance, injunctive           relief or
other equitable remedies.
| | -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

| | (c)                 None
of the Shares offered in the Buy Back by such Israeli Shareholder are           subject
to any lien, encumbrance, security interest, charge or pledge, except           for the
pledge granted to Partners lending banks in connection with the           Credit
Facility.
| | ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

7.       Closing.

| | (a)                 The
closing of the Buy Back shall take place four business days following the           date
on which all the conditions set forth in Section 5 above have been either
          satisfied or waived by the relevant parties, at the offices of Goldfarb, Levy,
          Eran & Co., 2 Weizmann Street 64239, Tel Aviv, Israel.
| | ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

| | (b)                 At
the closing, the Israeli Shareholders shall deliver to Partner duly executed
          shares transfer deeds and share certificates representing the Shares offered to
          Partner pursuant hereto, and Partner shall transfer the applicable Buy Back
          Price for the offered Shares, by means of wire transfer of immediately
available           New Israeli Shekels, to the bank account of the respective Israeli
Shareholders,           the details of which shall be delivered to Partner in writing
prior to the           closing.
| | ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

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| | (c)                 If
the share certificates delivered by any Israeli Shareholder to Partner shall
          represent a number of Shares in excess the number of Shares sold to Partner
          hereunder, then Partner shall promptly arrange for the issuance and delivery to
          such Israeli Shareholder of a new share certificate representing the balance of
          such Shares.
| | ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

| | (d)                 Subject
to the extent required by law (including the License or Articles of           Association
of Partner) that the Israeli Shareholders who retain Shares appoint           and retain,
from time to time, at least 10% of the directors of Partner (via a           right to be
included in an amendment to Partners Articles of Association),           who shall
be Israeli, and comply with the relevant provision of the License, the           Israeli
Shareholders shall deliver to the Partners secretary written           resignation
of their respective directors of Partner to take effect on the date           of the
closing of the Buy Back with an acknowledgement signed by each director,           in a
form satisfactory to Partner to the effect that each director has no claim
          against Partner for compensation for loss of office.
| | ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

8.       Termination. This
letter agreement and the Buy Back shall           automatically terminate on the date
that any of the following shall occur:           (i) on or before 21 days from the
date after the signing hereof, Partner           shall have failed to (A) deliver to each
Israeli Shareholder a signed copy of           this letter agreement indicating its
acceptance thereof following the approval           of its Audit Committee and Board of
Directors or (B) publish a notice convening           a shareholder meeting to approve
the Buy Back scheduled for a date within 51           days from the date after the
signing hereof, provided, however, that if Partner           shall not yet have received
the required approvals of the MOC and its lending           banks for the Financing,
then, upon written notice to the Israeli Shareholders,           Partner shall be
entitled to defer the publication of such shareholder meeting           notice to a date
no later than 41 days from the date after the signing hereof           and to defer the
scheduled date of such meeting to no later than 71 days from           the date after the
signing hereof; (ii) Partner shall have announced the           cancellation of such
shareholder meeting or its postponement to a date later           than 51 days from the
date hereof (or 71 days, if the deferral referenced in           clause 7(i)(B) shall
have been effected); (iii) the shareholders of Partner           shall have failed to
duly approve the Buy Back at the shareholder meeting           convened for such purpose;
or (iv) at the election of the Israeli Shareholders,           the Buy Back shall not
have closed for any reason within 80 days from the date           hereof, provided that
the Israeli Shareholders are not in material breach of the           provisions hereof.

9.       Miscellaneous.

| | (a)                 This
letter agreement shall be governed in all respects by the internal laws of           the
State of Israel without regard to conflict of laws rules.
| | ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------

| | (b)                 Except
as otherwise provided herein, the provisions of this letter agreement           shall
inure to the benefit of, and be binding upon, the respective successors           and
permitted assigns of the parties hereto. No party, without the prior written
          consent of the other parties, may assign all or any of its rights or
obligations           under this letter agreement, provided, however, that Matav shall be
entitled to           transfer to its lending banks (namely, Bank Hapoalim, Bank Leumi,
Bank Discount           and First International Bank of Israel) (i) the number of Shares
set forth           opposite its name on Schedule A hereto together with an assignment of
the Matav           Participation Option and/or (ii) the total number of Shares set forth
on           Schedule B hereto together with the Matav Put Option.
| | ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

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| | (c)                 This
letter agreement, including the schedules attached hereto, constitute the           full
and entire understanding and agreement among the parties with regard to the
          subject matter hereof and thereof, and no party shall be liable or bound to any
          other party in any manner except as specifically set forth herein.
| | --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

| | (d)                 Except
as expressly provided herein, neither this letter agreement nor any term           hereof
may be amended, waived, discharged or terminated other than by a written
          instrument signed by the all parties hereto. In addition, any party may waive
in           writing any right or Condition of which such party is the beneficiary.
| | -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

| | (e)                 All
notices and other communications required or permitted under this letter
          agreement shall be in writing and shall be delivered by hand or sent by
          facsimile directed to (i) if to an Israeli Shareholder, at such Israeli
          Shareholders address or facsimile number set forth on Schedule A, with a
          copy (which shall not constitute notice) to Goldfarb, Levy, Eran & Co., 2
          Weizmann Street, Tel Aviv 64239, Israel, facsimile number: +972-3-608-9909,
          Attention: Oded Eran, Adv. and Adam M. Klein, Adv.; or (ii) if to Partner,
          to the address or facsimile number first above written. Any notice sent in
          accordance with this paragraph 7(e) shall be effective (A) if delivered by
hand,           upon delivery or (B) if sent via facsimile, upon transmission and
electronic           confirmation of receipt.
| | ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

| | (f)                 The
parties shall take all reasonable actions in good faith to cause the           Conditions
to be fulfilled as soon as practicable. In addition, the parties           shall, and
shall use their reasonable efforts to procure that any necessary           third party
shall,execute such documents and do such acts and things as           may
reasonably be required for the purpose of giving full effect to all the
          provisions of this letter agreement. The Israeli Shareholders shall be entitled
          to be actively involved in the negotiations with the MOC and other regulatory
          authorities.
| | ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

| | (g)                 The
courts of Tel Aviv-Jaffo shall have exclusive jurisdiction to settle any
          dispute which may arise out of or in connection with this letter agreement. All
          the parties hereto irrevocably submit to the jurisdiction of such courts and
          waive any objection to proceedings in any such court on the ground of venue or
          on the ground that proceedings have been brought in an inconvenient forum.
| | ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

| | (h)                 If
the Buy Back Price shall equal or exceed NIS 32.1342, then any stamp duty
          arising from this letter agreement shall be borne by the Israeli Shareholders,
          severally and not jointly, pro rata based on the respective number of Shares
          sold in the Buy Back (subject to adjustment if the Matav Put Option is
          exercised). If the Buy Back Price shall be less than NIS 32.1342, then half of
          such stamp duty shall be borne by Partner and the other half shall be borne by
          the Israeli Shareholders severally and not jointly, pro rata based on their
          respective number of Shares sold in the Buy Back (subject to adjustment if the
          Matav Put Option is exercised).
| | ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

| | (i)                 All
share numbers and share prices herein shall be adjusted to reflect           dividends,
stock splits, rights offerings, etc.
| | ----------------------------------------------------------------------------------------------------------------------------------------------------

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| | (j)                 This
letter agreement may be entered into in any number of counterparts, all of
          which taken together shall constitute one and the same instrument. If the
          foregoing is acceptable to Partner, please indicate Partners acceptance
of           our offer to effect the Buy Back by signing in the space provided below and
send           a copy of this signed letter agreement to the Israeli Shareholders.
| | ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

Very truly yours,

|ELBIT LTD.By:  
Name:Title: | EUROCOM COMMUNICATIONS LTD.By:  
Name:Title:
|----------------------------------------- | ----------------------------------------------------------

|POLAR COMMUNICATIONS LTD.By:  
Name:Title: | MATAV INVESTMENTS LTD.By:  
Name:Title:
|-------------------------------------------------------- | -----------------------------------------------------

|MATAV CABLE SYSTEMS MEDIA LTD.By:  
Name:Title:
|-------------------------------------------------------------

The offer set forth in this letter
agreement is accepted subject to the terms and conditions set forth above, after having
been approved by the Audit Committee and the Board of Directors of Partner:

Date: February __, 2005

|PARTNER COMMUNICATIONS COMPANY LTD.By:  
Name:Title:
|------------------------------------------------------------------

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Schedule A

Israeli Shareholders
and Offered Shares

|                                                                                                                                                                                               | No. of Shares Offered
|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- | ---------------------
|
|Elbit Ltd.                       
3 Azrieli Center
Triangle Building, 42nd Floor
Tel Aviv 67023 Israel
Tel: +972-3-607-5555
Fax: +972-3-607-5556
Attention: Mr. Tal Raz (Director)             | 15,856,551           
|Eurocom Communications Ltd.                        
2 Dov Friedman Street
Ramat-Gan 52141 Israel
Tel: +972-3-753-0900
Fax: +972-3-752-9699
Attention: Amikam Shorer, Adv. (VP & Legal Counsel) | 11,626,616           
|Polar Communications Ltd.                     
21 Ha'arba'ah Street
Tel Aviv 64739 Israel
Tel: +972-3-684-5795
Fax: +972-3-684-5713
Attention: Ken Lalo (Executive Vice President)             | 4,235,038            
|Matav Investments Ltd.                         
42 Pinkas Street, Netanya
Tel: +972-9-860-2161
Fax: +972-9-860-2288
Attention: Ori Gur Arieh, Adv. (General Counsel)                           | 0                    
|Total                                                                                                                                                                                          | 31,718,205           

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Schedule B

Shares subject to
the Matav Put Option

|Israeli Shareholder         | Number of Shares
|--------------------------- | ----------------
|
|
|
|
|Elbit Ltd.                  |                 
|Eurocom Communications Ltd. |                 
|Polar Communications Ltd.   |                 
|                            |                 
|Total                       |                 
|                            |                 

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