Gfactor got it right in the links he posted, but I thought I could expand on it a bit.
First of all, though, you’re wrong in calling them fines, as other posters have commented. Fines are the punishment for a criminal offence, and are paid by the convicted felon to the government. This is a case of damages, awarded in a civil trial, and are paid by the defendant to the plaintiff.
The reason I mention that is that most legal systems treat penal sanctions differently than civil damages, for the purposes of enforcement in another country. As a general rule, one country will not enforce another country’s penal sanctions, but will enforce civil damages. Civil damages are a private right, between one private party and another, and are normally treated as a debt owing. Fines are considered part of the criminal law, and one country normally doesn’t enforce the other country’s penal law - it’s an aspect of the sovereignty of nations.
Here, the defendant owes a civil judgment, so it normally will be treated by foreign courts like a debt owing. In one of Gfactor’s links, there’s a discussion of the Supreme Court of Canada’s decision in Beals v. Saldanha, where the Supreme Court had to decide if the Canadian courts should enforce an unusual judgment from the Florida state courts:
[ul][li] some Canadians owned a vacant lot worth US$8,000 in Florida;[/li]
[li] they sold it to some people in Florida;[/li]
[li] a dispute arose and the Floridians sued the Canadians in Florida state courts;[/li]
[li] the Canadians did not appear in the Florida state courts to defend;[/li]
[li] the jury gave a judgment of US$210,000 in compensatory damages and US$50,000 in punitive damages to the Floridians against the Canadians;[/li]
[li] the Floridians sued to enforce the judgment in the Ontario courts;[/li]
[li] by the time of the hearing, with interest, the award had grown to approximately C$800,000;[/li]
[li] the Supreme Court of Canada, by a 6-3 majority, held that the damage award was enforceable in the Canadian courts. [/ul][/li]
So based on that decision, the general rule in Canada now is that foreign judgments are enforceable, even if they seem extreme.
(Not intended as legal advice; your mileage may vary; consult a lawyer who knows something about this stuff before buying or selling land in Florida.)