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Us Weekly magazine has published photos of the ‘Kill Bill’ star and Busson kissing and speculates they've been dating for a month, after hooking up at the 45th anniversary parties for designer Valentino in Rome.
"With their arms wrapped around each other, the couple seemed oblivious to everyone around them," a source has told the New York Post's Page Six column, reports Hollywood.com
Thurman who was previously married to actor Ethan Hawke has been single since splitting from hotelier Andre Balazs in March.
As for Busson and Macpherson, they had separated in 2005, after having two children together.