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Supermodel Linda Evangelista has filed documents in a New York court seeking child support for her son, Augustin James, 4, from Salma Hayek's husband François-Henri Pinault.

The documents state that Augustin "was born out of wedlock to [petitioner] Linda Evangelista, 46, and that [Pinault] acknowledged [her] allegation," a source tells People magazine.

Augustine was conceived in early 2006.

Hayek and Pinault - CEO of PPR, a French multinational holding company worth $28 billion that owns Gucci, Bottega Veneta and Yves Saint Laurent – met in Venice in May 2006. They started dating shortly thereafter, but kept their relationship low key. In March 2007 they announced their engagement and Hayek's pregnancy.

Their daughter, Valentina Paloma Pinault, was born on September 21, 2007.

The couple broke their engagement in July 2008 but later reconciled and married on Valentine's Day, 2009 in Paris.

In the past Evangelista has denied Pinault was Augustin's father. A year after Augustin's birth, she claimed the boy's father was "a New York architect".

Pinault, 49, and Hayek, 44, too have refused to acknowledge the boy with Hayek claiming that Pinault has only three children - Valentina and two from his previous marriage.

Evangelista is reported to have filed the petition seeking child support after the couple failed to reach an out of court settlement. Pinault was a no show at the Manhattan Family Court on Thursday, but only because of a misunderstanding, claims his lawyer, David Aronson.

"We had understood that it was to be a brief, telephone conference," Mr Aronson said.

Under New York law, a father is required to pay 17 percent of his income for child support. According to Bloomberg Businessweek, Pinault's 2010 salary was $5.4 million.