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Family name Damia (Damia , داميا ) , in the entire world, is quite a common cognomen. The last name Damia is habitual in Brunei, where it is quite a common surname, Malaysia, and Spain, where it is quite a rare surname. Not in comparison with a country's population, the name is most common in Malaysia, Spain, and Indonesia. Also, Damia is the forename as well as the last name.