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Family name Cheshmi (Cheshmi , Чешми ) , worldwide, is a rare surname. The family name Cheshmi is characteristic of Iran, where it is a rare surname, Kyrgyzstan, and Georgia, where it is a very rare surname. Not in comparison with a country's population, the name is most common in Southern Asia, particularly Iran, Pakistan, and India. Very seldom, Cheshmi is the forename as well as the last name.