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Last name Trevi (Trevi , Trebia ) , worldwide, is quite a rare cognomen. The cognomen Trevi is habitual in Israel, where it is quite a common surname, Italy, where it is a rare surname, and Belgium, where it is a very rare surname. Measured by absolute frequency, it is commonest in Israel, Italy, and the United States. Much less frequently, Trevi is the forename as well as the last name.