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Family name Osme (Osme ) , in the world, is a rare last name. The family name Osme is characteristic of Latin America and the Caribbean, particularly the Dominican Republic, where it is a rare surname, Honduras, and Nicaragua, where it is a very rare surname. In absolute terms, the name is most common in the Dominican Republic, Colombia, and the United States. Likewise, Osme is the forename as well as the last name.