The 47-year-old French banker supported the 30-year-old fashion mogul on Thursday when she competed in the annual Hampton Classic Horse Show in Bridgehampton, New York, and the two were snapped engaging in some rare PDA during a break. Sarkozy lovingly placed his hand on Olsen's riding helmet at one point, and also went in for a smooch.
Although Olsen didn't win any prizes at the competition, she did look pretty fierce riding her horse, sporting black riding boots and putting her long blong hair in a low ponytail. Olsen, who's left-handed, wore her wedding ring on her right hand.
Other famous faces in the competition included Jessica Springsteen (Bruce Springsteen's daughter), Tabitha Broderick (daughter of Matthew Broderick and Sarah Jessica Parker), Georgina Bloomberg (daughter of former NYC Mayor Michael Bloomberg), Eve Jobs (the late Steve Jobs' daughter), and Romy Lauer (daughter of Matt Lauer). Bloomberg ended up taking the 12th place ribbon and $400, while Jobs took first place in the Junior Jumper, winning $1,400.