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Liotta (67) died on Thursday (local time) in bed at a hotel where he was staying with his fiancée Jacy Nittolo while filming "Dangerous Waters," his publicist, Jennifer Allen, said.
He had a leading role in the film about a sailing holiday that goes awry when family secrets are revealed.
A cause of death was not specified, cinema officials said. According to media reports, an emergency service team had entered the hotel. His body was transferred to the forensic institute of Santo Domingo.
Liotta was born on December 18, 1954, in Newark, New Jersey.
His many starring roles included playing mobster Henry Hill in "Goodfellas" and baseball player Shoeless Joe Jackson in "Field of Dreams." He is also known for films including "The Many Saints of Newark" and "Something Wild."
He leaves behind a daughter, Karsen Liotta (23).