updated 08/31/2012 AT 5:30 PM ET
•originally published 08/31/2012 AT 6:00 PM ET
Heidi Klum recently went on Italian getaway to enjoy the sun, the sand – and possibly a new man?
While on a family getaway to Sardinia, the Project Runway host, 39, was spotted getting close to her bodyguard of four years, Martin Kirsten, sparking rumors that the two are dating.
Not exactly, a friend close to Klum tells PEOPLE.
“It’s complicated,” says the friend. “Their relationship is hard to define.”