Eva Longoria Is Dating Jose Antonio Baston

After several weeks of keeping her new romance under wraps, Eva Longoria stepped out over the weekend with the new man in her life, Jose “Pepe” Antonio Baston.

“He’s been sweeping her off her feet and courting her like a proper gentleman,” a source tells PEOPLE of Baston, 45, the president of Televisa, the largest media company in Latin America. On Friday, he escorted the actress/producer, 38, to the Museo Jumex Opening dinner at Case De La Bola in Mexico City, Mexico.