I don't understand how this court system can be so silly as to fail to recognize that it has no jurisdiction over someone. Isn't the question of jurisdiction one of the first steps in any court case?
What do you mean by "no jurisdiction over someone?" If a crime was committed in france they can ask for extradition. That would probably not result in anything in this case, but as long as it's a crime by french law committed in france the case may as well be valid. So all the court will check whether a punishable crime was committed in france. They could collect the fine when the blogger enters france or maybe, depe…
Was this actually a crime or just a civil dispute?