Uma Thurman and ARPAD BUSSON have settled ''98 per cent'' of their custody dispute.

The Kill Bill' actress and her millionaire former fiancé have been locked in a bitter battle over four-year-old Luna but after spending hours in chambers with their lawyers and Justice Matthew Cooper trying to agree custody and financial details on Monday (23.01.17), the judge has now told them they don't need to return to court.

According to MailOnline, the judge praised the former couple for agreeing to compromise and said: ''We made a huge amount of progress and are 98 per cent resolved.''

The 46-year-old star and the financier had sat alone at either end of a shared table while negotiations were ongoing, with Uma taking out her knitting while Arpad read the Financial Times newspaper.

Outside the court, the 'Pulp Fiction' star seemed pleased with the negotiations.

She embraced her lawyers and said: ''I have to collect my thoughts... it's all good. [I'm] going to pick up my daughter.''

The judge scheduled a telephone conference with the lawyers for Tuesday (24.01.17) but the former couple didn't have to be a part of it.

During the hearing, Uma - who also has kids Maya, 18, and Levon, 15, with ex-husband Ethan Hawke - alleged Arpad was ''aggressive and angry'' and got ''meaner and meaner'' throughout their on/off seven-year relationship, which ended in 2014.

She testified: ''He was very difficult to be with. He was very angry. He got meaner and meaner.''

During her testimony, the actress shared Arpad's reaction when she told him she was pregnant with Luna.

She said: ''Um, he looked at me and said, 'Well the child won't share your last name, cannot be a U.S. citizen and can't have a US passport and will be raised Catholic.'''

When asked by her lawyer Adam Wolff, ''What was the status of the relationship following that conversation?'', she replied: ''It was terrible.''

She also claimed that Luna has been left upset after Arpad missed some of his scheduled visits with the tot.

Uma said: ''When she doesn't see her father for a long time I think it just creates anxiety. It seems like she's upset or something is bothering her around the whole issue.''