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Last name Салаи (Salai , Salay , Szalay ) , in all the world, is a common cognomen. The surname Салаи is habitual in Mongolia, where it is a common surname, Hungary, where it is quite a common surname, and Slovakia. Measured by absolute frequency, the name is most common in Hungary, Mongolia, and Myanmar. Likewise, Салаи is the forename as well as the last name.