Regarding Eugene, he was culturally mostly french, but his parents were italian nonetheless (and i doubt Louis XIV was his father despite the liaison he COULD have had with Olympe Mancini).
Former Savoy is nowaday partly in France and partly in Italy. But the french part has been annexed to France only during the italian unification (with Nice, home of Garibaldi) as a reward for french help.
Before that it was an italian principality, with, being a frontier province, some part of its territory populated by french speaking people.
IIRC, the dukes and later princes of Savoy were also rather french, culturally speaking, but their history is linked to Italy more than France.