Mary-Kate Olsen has a new man. The pint-size multi-millionaire is reportedly seeing a Heath Ledger look alike in the person of Italian playboy Lapo Elkann.

Elkann, heir to the $7.3 billion Fiat auto company, bears a striking resemblance to the "Brokeback Mountain" star who died from drug overdose. He had been seen flirting with the 21-year-old actress in Paris' Fashion Week.

A source tells Star magazine: "Mary-Kate and Lapo seemed very cozy. Lapo's a good-looking guy, and Mary-Kate seemed to love the attention she was getting from him."

Earlier this year, Olsen had been linked to the recently deceased Ledger when police reports reveal his masseuse called her several times before calling 911 when she discovered the actor's unresponsive body. It would seem the Ashley's twin is attracted to men with drug-related pasts as Elkann had once overdosed on cocaine and heroine in 2005.

They are reportedly no strangers to each other as they have been linked numerous times together at parties and events.

The source continues: "Perhaps, this time in Paris, they'll strike up a romance."