Not quite sure which part of this process do you think is even remotely unique to the US.
In the US, the plaintiff needs to prove, to a preponderance of evidence, that the statements were false, intended to be perceived as statements of fact, harmful, and that there was negligence or actual malice in the defendant's belief in those statements.
A bunch of European countries allow defamation cases despite the statements being true. Belgium, Finland, France, Germany, Italy, Poland, Sweden, Switzerland, and The U.K definitely fall into that category (though in some cases like the U.K., truth is a defense if the plaintiff can prove the statements were in the public interest).
To people outside of Europe, any category of countries that includes the U.K, France, and Germany can colloquially be referred to as "Europe" pretty comfortably.