Spanish term (edited): despacho internacional

I suspect that the phrase of the question "el despacho internacional " is a simplified, layman's representation (maybe for the press?) of what is actually being requested, which would, I suggest, be a 'carta rogatoria' requiring the bank to (more probably, "hoping against all odds" that the bank will) divulge useful evidence.

If that is the case, then it will be sufficient to use laymen's terms for a literal translation of 'despacho internacional' --> 'overseas dispatch', and leave aside all mention of 'letters rogatory'.

***the plaintiff moves the court to request international judicial assistance / legal assistance*** to have the foreign bank disclose and certify bank records with bank account balances

fuentes:

A Proposed Uniform Standard for U.S. Courts in Granting Requests ...
ir.lawnet.fordham.edu/cgi/viewcontent.cgi?article=1319&context=ilj
PDF/Adobe Acrobat
EP McCarthy - 1991 -
which courts request international judicial assistance.2. Although a grant of ... letters rogatory was not helping to improve the U.S. balance of payments" and not -. 772 .... (S.D.N.Y. 1988) (bank records requested for Argentine criminal fraud proceeding); ...... The supporting facts included accounts of court proceedings ...

~ Butterworths Journal
www.nkf.ch/wAssets-nkf2/docs/...c.../nkf_honegger_bankingse...
PDF/Adobe Acrobat - Quick View
rather than Jewish — assets held in Swiss bank accounts during. World War II. ... not be punished if he. 344 But-terworths Journal of International Banking and Financial LawIAugust 1990 .... Not long ago, the Swiss Federal Court, ie the highest Swiss court, ruled ... bank, upon a request for judicial assistance by the foreign ...

Obtaining Evidence Abroad Page 1 of 19
www.hep.uiuc.edu/home/g-gollin/pigeons/exhibit_24.pdf
PDF/Adobe Acrobat - Quick View
Ristau, International Judicial Assistance Civil and Commercial, Sec. ..... Ba'. of Education of the City of New York, 16 Fed. .... execution of a request for judicial assistance by the foreign court is based on cornity between nations, .... coinity, to balance when determining whether the requested documents are directly relevant, ...

United States v. Frank
www.uniset.ca/other/css/494F2d145.html
Defendants were convicted in the United States District Court for the ... by virtue of the Bahamian Bank Secrecy Act; that the court did not abuse its discretion in ... to request statements, deposit slips, checks or a balance relating to the account. ..... court of an International Request for Judicial Assistance, contemplated by the ...


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Note added at 1 hr (2011-09-12 00:05:08 GMT)
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Explicación:

the court requests this specific international judicial assistance / legal assistance from a foreign court based on the pertinent mutual legal assistance treaty (MLAT) between the two specific countries

Is what I would say.