The Canadian supermodel has five-year-old son Augie with the businessman, who is now married to Hollywood actress Salma Hayek.
PHOTOS: Linda Evangelista Arrives At Court For Child Support Battle
Looking modest in a floral blouse and knee-length black skirt, the 46-year-old beauty, looked like she was ready for the battle ahead.
As well as the generous sum, Evangelista wants Pinault to buy her a home.
Pinault runs the successful PPR family business that has Yves Saint Laurent and Gucci in its portfolio of businesses.
The Frenchman, who turns 50 this month, is also expected to be present in court for the trial to decided on the financial support of the little boy who was conceived during a brief four-month affair.
The $46,000 Evangelista is demanding would go towards the cost of ex-NYPD detectives to double up as chauffeurs at $15,000 a month and a 24-hour nanny costing $7,000 a month.
Pinault has put a $12 million Los Angeles home in trust for his four-year-old daughter Valentina that he has with Salma.
Evangelista apparently wants a comparable lifestyle for her son to what the little girl receives.
The 90s pin-up is expected to testify Friday with the trial due to last into next week.