Ana de Armas and Ben Affleck were spotted in Havana together, sparking romance rumors.

Did Ana de Armas and Ben Affleck go on a romantic getaway to Cuba? A source tells PEOPLE the actors left Havana on Saturday night and were seen kissing in the airport before boarding a private jet together. “They are definitely dating,” the source says.

The Knives Out actress, 31, who is from Cuba, was spotted on the island Thursday night on a dinner date with Affleck, 47. They also walked around Havana together, where fans and paparazzi spotted them smiling and seeming to have a great time. They ate at La Corte del Principe restaurant and posed with the chef for a photo.

Ana de Armas y Ben Affleck
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The gorgeous duo met while filming the thriller Deep Water, from Fatal Attraction director Adrian Lyne, in New Orleans. The movie is coming to theaters November 13. A fan also tweeted about the actors being together at a bar in New Orleans in January. “Ben Affleck right behind me spitting game to Ana de Armas in Spanish all night long is a vibe,” the fan wrote.

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The American actor — who was engaged to Jennifer Lopez from 2002 to 2004 — is fluent in Spanish. Affleck has three kids — Violet, 14, Seraphina, 11, and Samuel, 8 — with ex-wife Jennifer Garner. De Armas and Affleck are not Instagram-official yet, but stay tuned.