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Cognomen Szalai (Szalai , Салаи , سالاي) , in all the world, is a common family name. The family name Szalai is characteristic of Hungary, where it is a common surname, Slovakia, where it is quite a common surname, and Serbia, where it is quite a rare surname. In absolute terms, this name is the most popular in Hungary, Slovakia, and the United States. Very seldom, Szalai is the forename as well as the last name.