He continued to act in Hollywood films such as Stephen Frears' Hero (1992), the romantic drama When a Man Loves a Woman (1994), and the action thriller Desperate Measures (1998). In 2000, he produced and acted in the HBO television film, For Love or Country: The Arturo Sandoval Story (2000), where he received a Primetime Emmy Award and a Golden Globe Award nominations. He also starred in Steven Soderbergh's Ocean's Eleven (2001) and its sequels, Ocean's Twelve (2004) and Ocean's Thirteen (2007). In 2005, García directed and starred in the film The Lost City alongside Dustin Hoffman and Bill Murray. He also starred in New York, I Love You (2008), the dramedy City Island (2009), the romantic comedy At Middleton (2013), and the crime thriller Kill the Messenger (2014). He has had supporting roles in Mamma Mia! Here We Go Again, Book Club, The Mule, the HBO television movie My Dinner with Hervé (all 2018), and the title role in the Father of the Bride remake (2022).
In 2005, he won both a Grammy and a Latin Grammy Award for producing Cuban musician Cachao's record ¡Ahora Sí!.
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