It should be noted that in cross-border litigation law that will follow a no-deal Brexit, that Rome I and II will remain in force in the UK, so there should not be any change to the rules that govern choice of law. The UK has also ratified the 2005 Hague Convention to come into force immediately on exit from the EU, so that EU Member States will generally uphold exclusive jurisdiction clauses and recognise and enforce UK judgments after Brexit, though not non-exclusive or asymmetric jurisdiction clauses, and perhaps excepting contracts entered into before Brexit.