Here is some information I could find[1].
Obviously, there is a lot of variability here, and I don't there are blanket agreements to enforce judgements. It is hard to imagine the Netherlands forcing payment for an abortion damages judgement from a Texas court .
https://www.gibsondunn.com/wp-content/uploads/documents/publ...
The best option is to take the decision from jurisdiction B into a new court proceeding and jurisdiction A and ask them to honor it with a local court order in A.
They may or they may not.
Even within the United States you might have a court order in one state or payment, and another state that refuses to enforce it within their jurisdiction.