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Mary Kate Olsen, Olivier Sarkozy

UPI/John Angelillo /LANDOV

But would Danny Tanner approve?

Rumors are running rampant that former Full House star Mary-Kate Olsen's love life has gone international by way of former French president Nicolas Sarkozy's 42-year-old half-brother, Olivier Sarkozy.

Well, the two did look to be getting rather cozy (see above) at a New York Knicks basketball game last month.

But that's not all.

Sarkozy, who recently called it quits with artist Julian Schnabel's daughter, Stella, is said to have hit the Hamptons with 25-year-old Olsen over the Memorial Day weekend, according to the New York Post, with a source telling the paper that they are "head over heels" for one another.

E! News has reached out to Olsen's rep for a comment, but we've not heard back yet.