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Family name Fiala (Fiala , Фиала , Фіала ) , all around the world, is a common surname. The surname Fiala is habitual in Czechia, where it is a common surname, Slovakia, where it is quite a common surname, and Austria. Not in comparison with a country's population, it most frequently occurs in Czechia, the United States, and Austria. Much less frequently, Fiala is the forename as well as the last name.