The 45-year-old is the president of Televisa, Latin America's largest media company, and has reportedly been courting Eva, 38, like a gentleman.
The couple made their first red carpet appearance together at the Museo Jumex opening dinner at Case De La Bola.
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They caused quite a stir as they arrived for the event, happily posing for photographs together before heading inside.
Eva looked beautiful in a fitted monochrome cocktail dress, and her handsome parter proudly wrapped his arm around her waist as they smiled for the cameras.
Last month, the couple were spotted dining together at New York's Serafina restaurant. At the time, it was claimed that Eva had reconciled with former boyfriend Eduardo Cruz for the dinner date — but it was later revealed that her companion was Jose.
"They were very cute together, holding hands and giving each other little kisses," a witness told E!.
"They were adorable. Eva was in a great mood, huge smile on her face and very kind to the staff."
A source told People, "She's very happy and he's crazy about her."
Eva has been single since splitting from Ernesto Arguello in August after four months of dating. She ended her romance with Eduardo, Penelope Cruz's younger brother, back in March.