With their frequent public displays of affection, rolling around on the beach in their swimwear, they make no effort to hide their mutual infatuation.
But for once the couple covered up as they joined Claudia's toddler son Liam, 20 months, on the beach in Miami.
World's most embarrassing parents? Claudia
Galanti squeezes Arnaud Mimran's behind as they stroll on the beach with
their son Liam in Miami on Thursday
A kiss for you: Liam has a cuddle with his mother's boyfriend
He in turn wore a bizarre pair of leather shorts and a T-shirt, as he carried Liam along the beach.
While French mogul Arnaud is not Liam's biological father, he is the father of his younger sibling Tal Harlow.
Holding on: Claudia chats to her son as she grabs hold of Arnaud
Taking a walk: The toddler points out something of interest to his parents
The businessman and enthusiastic poker player is part of the Mimran empire - one of the richest in France with an estimated fortune of €1.2 billion and interests in much of West Africa.
Back in 2008, she made her Italian TV debut as a showgirl before going on to become a contestant in the the seventh edition of the reality show The Famous Island - which is comparable to I'm A Celebrity...Get Me Out of Here.
However, she was eliminated in the fourth episode. But things are looking rosy for Galanti, who seems terribly loved up with her beau.
Pick me up! Little Liam runs up for a hug as the family play on the beach