The actress, who split from her boyfriend Andre Balazs last March, recently spent a romantic evening with Swiss banker Arky Busson.
A source told the New York Post, "They had their arms wrapped around each other and seemed oblivious to everyone around them."
Thurman and Busson, who has two sons with Macpherson, met at the 45th birthday party of Valentino in Rome. Thurman was most recently linked to director David White.