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Surname Siim (Siim , Сиим , Сіім ) , around the world, is a rare last name. The last name Siim is characteristic of Estonia, where it is quite a common surname, Denmark, where it is quite a rare surname, and Israel, where it is a rare surname. In absolute terms, it is the most numerous in Estonia, Algeria, and Denmark. Also, Siim is the forename as well as the last name.