Linda Evangelista, Francois-Henri Pinault settle child support battle

Supermodel Linda Evangelista arrives at New York Family court in New York, May 7, 2012. Evangelista met with French billionaire François-Henri Pinault in court in a bid to get 46,000 USD a month in child support for their son Augie. The model claims Pinault, who is heir to a 11.5 billion USD family estate, should give their son more than 1,500 USD a day for childcare and armed guards for his protection. AFP PHOTO/Stan HONDA (Photo credit should read STAN HONDA/AFP/GettyImages)
Linda Evangelista arrives at New York Family court in New York, May 7, 2012.

(CBS/AP) Supermodel Linda Evangelista and billionaire French businessman Francois-Henri Pinault have reached an agreement to end their child support fight, their lawyers said Monday.

Their attorneys were mum about the details, which they planned to give to a magistrate on Tuesday.

Read more: Linda Evangelista puts child's bills at $46,000 a month

The settlement came in the midst of a trial over how much, if anything, Pinault should pay toward the care of their 5-year-old son. Pinault is the CEO of a company that owns Gucci, Yves St. Laurent and other top-flight fashion lines; he's now married to actress Salma Hayek.

Both Pinault and Evangelista had testified at the trial, answering questions that delved into her career, his high-flying finances and his limited relationship with the boy.

In legal papers, she had said she was spending $46,000 a month on armed bodyguards, a 24-hour-a-day nanny and other expenses for the boy, Augustin, nicknamed Augie. He was born in 2006 after a four-month relationship; Pinault said he and Evangelista spent only about seven days together in all.

Evangelista's lawyer said she willingly paid all the child's expenses at first, but she now needs some help. While Evangelista - who once quipped that supermodels "don't wake up for less than $10,000 a day" - testified that she still can command about $100,000 to walk a runway, attorney William Beslow said her roughly $1.8 million-a-year income sank last year because a major contract with L'Oreal ended.

As part of the family behind luxury-brands conglomerate PPR, Pinault makes about $4 million a year, and Forbes estimates his family's net worth at $13 billion. He wears a $100,000 watch, dropped about $52,000 on a 12-day vacation to Bora Bora and bought himself about $62,000 in clothes in a single year, according to his testimony.

Pinault, who has a 4-year-old daughter, Valentina, with Hayek and two other children from a previous marriage, legally recognized Augie as his son in 2007. Pinault said Evangelista asked for what he considered an unreasonable amount of child support, he countered with another offer, and he didn't get a response for years. She went to court in 2010.

"We are not going to claim that he cannot pay a fair and reasonable child support," Aronson said in an opening statement. But $46,000 a month, he said, would be "just ridiculous."

That would indeed be high, even for New York, though there have been some other big-money child-support cases here. Sean "Diddy" Combs was ordered in 2005 to pay about $19,000 a month in support, and Revlon Inc. chairman Ronald Perelman was ordered in 1999 to pay more than $12,000 a month.