When there is a dispute between companies or individuals from different countries, the best way to resolve it is through international arbitration, since going to court would lead to problems of jurisdiction. International Arbitration usually follows the UNCITRAL Arbitration Rules, but there are other sets of rules that the two parties can agree to follow, depending on the nature of the dispute. There are several organizations around the world that handle international arbitration with the most prestigious ones being in Paris, London, Singapore, New York and elsewhere.
If you believe that a dispute against a foreign company or individual should be solved by international arbitration, you should be able to find international arbitration lawyers among those listed in myLawyer.