Uma Thurman's ex-fiance sues for custody

Uma Thurman's former fiance Arpad Busson has filed an emergency court order seeking custody of their two-year-old daughter.

The Kill Bill star began dating French financier Busson in 2007 and gave birth to the couple's only child, little Rosalind, aka Luna, in July, 2012, months after reconciling with her boyfriend following a 2009 split.

The pair parted ways again earlier this year (14), calling off its engagement for a second time, and now multi-millionaire Busson is fighting for physical custody of his child.

His lawyer filed papers in Manhattan Supreme Court in New York on Tuesday (14Oct14).

The case has been sealed and representatives for both Busson and Thurman have yet to comment on the lawsuit.

Busson, who is reportedly now dating British actress Kristin Scott Thomas, is also father to two sons with supermodel Elle Macpherson, while Thurman shares a boy and a girl with her ex-husband, actor Ethan Hawke.