Us Weekly magazine has published photos of the Kill Bill star kissing Swiss banker Arpad 'Arki' Busson and speculates they've been dating for a month, after hooking up at the 45th anniversary parties for designer Valentino in Rome.
A source tells the New York Post's Page Six column, "With their arms wrapped around each other, the couple seemed oblivious to everyone around them."
Thurman has been single since splitting from hotelier Andre Balazs in March.
Busson and Macpherson parted ways in 2005, after having two children together.
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