The actress s former fiancé, Arpad Busson, files suit in New York City
The actress, who lives in New York City, began dating the London-based multimillionaire in 2007 after meeting at a dinner in Milan, two years after she and actor Ethan Hawke divorced. She has two children with Hawke – Maya, 16, and Levon, 12.
“It is unfortunate that this very private discussion regarding Mr. Busson’s visitation rights and his participation in decision making has been made public,” a spokesperson for Thurman tells PEOPLE in a statement. “However, we are optimistic that a fair agreement for both sides will be reached out of court.”
Busson has two sons – Flynn, 16, and Cy, 11 – with supermodel Elle Macpherson.
Court papers show the custody case was assigned to matrimonial court Tuesday and records will be sealed.
Busson’s lawyer had no comment. Thurman’s attorney did not immediately return calls for comment.
Busson, meanwhile, has been linked recently to The English Patient actress Kristin Scott Thomas. The pair was first spotted in London in May and then holding hands in Paris in July.
• With reporting by JULIE JORDAN