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Last name Asevedo (Asevedo , Асеведо ) , across the world, is quite a common family name. The surname Asevedo is habitual in Latin America and the Caribbean, particularly Belize, where it is quite a common surname, the Dominican Republic, where it is quite a rare surname, and Nicaragua. In absolute terms, the name is most common in Latin America and the Caribbean, particularly Brazil, the Dominican Republic, and Mexico.