Hayek, 42, and Pinault, 46, were married on Saturday – St. Valentine's Day – in the City Hall of the Sixth Arrondissement in central Paris, according to the publication, which is owned by the Pinault family. Sixth Arrondissement Mayor Jean-Pierre Lecoq subsequently confirmed the report to the French news agency Agence France-Presse.

There had been recent reports that the couple – whose daughter, Valentina Paloma Pinault, was born in Los Angeles in September 2007 – had reunited after they had called off their marital engagement in July 2008. The two had originally announced their engagement in March 2007. Friends of the couple tell PEOPLE that a Paris trip in September (when Hayek attended the Balenciaga fashion show) and another in November helped rekindle the pair's relationship. Adds a source, they were "very evidently in love with each other, very affectionate in public" together at the Dubai Film Festival in December.

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Pinault is CEO of the luxury giant PPR and the son of one of France's richest men, Francois Pinault, whose fortune last year was estimated to be $16.9 billion by Forbes magazine.