ou, simplesmente, conflito de leis

without regard to its conflict of laws rules

sem considerar as regras governando os conflitos entre leis

sem consideração com respeito as regras governando os conflitos entre leis

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Note added at 2003-06-25 16:22:21 (GMT) Post-grading
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these are the rules established by the courts to determine which laws will take precedence or will prevail when a conflict between laws arises.

conflict of laws
conflict of laws, that part of the law in each state, country, or other jurisdiction that determines whether, in dealing with a particular legal situation, its law or the law of some other jurisdiction will be applied.

An example of a situation that might involve the different laws of two places is that of a contract signed in one state and mailed to another. Complications may arise if one of the states provides that a contract so delivered is effective once mailed, while the other state provides that it is not effective until received. The conflict of laws rules that a court applies in these disputed situations are commonly designed to decide the case by the law of the territory having the closest connection with the transaction. An often expressed ideal is that of making the decision the same regardless of where the case is decided.

n the United States the existence of many states with legal rules often at variance makes the subject of conflict of laws especially urgent. The Supreme Court ruled in 1938 that each federal court must apply the conflict of laws rules of the state in which it sits.

The most important attempt in antiquity to deal with the problem of conflict of laws was the jus gentium [law of nations] of the Romans: a system of laws applied to all free foreigners. The founder of the modern study of conflict of laws was the medieval jurist, Bartolus of Sassoferrato (1314–57).

See W. W. Cook, The Logical and Legal Basis of the Conflict of Laws (1942); P. C. Jessup, Transnational Law (1956); S. A. Bayitch, Conflict of Laws (1968); J. G. Collier, Conflict of Laws (1988).

http://www.infoplease.com/ce6/society/A0813207.html

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This is the usual expression in Brazilian Portuguese, as you may see from these examples and references:

[PDF]UNIVERSIDADE FEDERAL DO RIO DE JANEIRO CENTRO DE CIÊNCIAS ...
Formato do arquivo: PDF/Adobe Acrobat - Ver em HTML
... da situação. Entender qual a motivação dos países da OTAN para
agir em tamanha desconformidade com as regras do DIP. Isso é ...
www.geocities.com/ivantlib/interven.pdf

Aulas 06 e 08/05:
... 1) considerações gerais: - pelas regras do DIP é possível a aplicação
de direito estrangeiro, por juiz territorial (local). ...
www.unimes.br/aulas/DIREITO/Aulas2000/4ano/ Direito_Internacional_Privado/Dr402703.htm