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Surname Fuster (Fuster , فوستر, Фустер ) , across the world, is a common cognomen. The surname Fuster is characteristic of Spain, where it is quite a common surname, Paraguay, where it is quite a rare surname, and Puerto Rico. Measured by absolute frequency, this name is the most popular in Spain, Argentina, and Peru. Likewise, Fuster is the forename as well as the last name.