Hello. I think the determination of the applicable law determines the settlement of disputes. So once the international jurisdiction determined, the judge or court should seek the law applicable to the dispute concerning international private situation. the classical questions of private international law.

And the oldest (but not always the best) option the application of the rule of conflict of laws. The purpose, ensure continuity of the legal relations in space. I thik, uniform standards right would be the best solution.

https://en.wikipedia.org/wiki/Choice_of_law

Wiki only points to a direction, but often is a great source of references. If you want a law school definition contact me direct.

I am sorry but the scientific debate today in Europe discusses alternative techniques to traditional conflict of law. Wiki is a non academic source.  You can also contact me for more information. 

Hello 

I recommend: A Briggs, The Conflict of Laws (3rd edn Oxford University Press 2013).

http://smulawreview.law.smu.edu/getattachment/Journals/TX-Survey/2015-Texas-Survey/Conflict-of-Laws.pdf

thank you Andrea