Uma Thurman and her ex, Arpad Busson, have been trying to work out a custody agreement for their daughter, Luna since they split in 2014. Now, their battle is going to trial. The New York Post reports the exes could find themselves back court in Manhattan as soon as December. In September, Arpad filed a motion asking for temporary visitation rights to Luna, who was born in 2012 following her parents' first split.