LEVANGELISTA230.jpgLinda Evangelista has kept the identity of the father of her 4-year-old son, Augustin James, a secret, until now.

The supermodel's baby's daddy happens to be billionaire Frenchman Francois-Henri Pinault, who is currently married to Selma Hayek and was expecting a child with her at the same time, the New York Post reports.

Evangelista initially claimed the father was "a New York architect," but Pinault's name started circulating in 2007, and Page Six, spotted the supermodel heading to court on Thursday to set up a support agreement with Pinault.

The CEO of the $28 billion conglomerate, which owns Gucci, Bottega Veneta and Yves St. Laurent, didn't make it to court but his lawyer, David Aronson, explained after the meeting, "We had understood that it was to be a brief, telephone conference, to bring Magistrate Troy up to date on what the status was."

Selma gave birth to Valentina Paloma Pinault on September 21, 2007, and Evangelista welcomed baby Augustin on October 11, 2006.

Apparently no agreement was reached in court between Linda and Francois, so there may be a trial this fall.