Former supermodel Linda Evangelista has reached a settlement in her child custody case with French billionaire Francois-Henri Pinault, her son's father.

According to the New York Post, the two reached an agreement via telephone this morning. No details of the settlement have emerged but both parties are expected to return to court tomorrow to finalize the specifics in writing.

Evangelista, 46, was reportedly asking Pinault, 49, for upwards of $46,000 a month for their 5-year-old son Augustin, a figure that included $15-16,000 a month for gun-toting, ex-NYPD detective chauffeurs, plus a 24-hour nanny costing almost $7,000 a month. The model denied that amount in court just a week ago.

The news comes as Evangelista was ready to give her second day of testimony in the high-profile case, one that would have touched on delicate topics such as Pinault's request to abort the baby.

The French businessman was revealed to be the father of Augustin last year. He also has two other children from a previous marriage and a 4-year-old daughter Valentina, who he had with current wife Salma Hayek.