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Surname Fui (Fui , ฟู , ฟุ้ย) , all around the world, is a common last name. The last name Fui is characteristic of South-eastern Asia, particularly Malaysia, where it is a common surname, Brunei, where it is quite a rare surname, and Singapore. Not in comparison with a country's population, the name is most common in Malaysia, Indonesia, and China. Much less frequently, Fui is the forename as well as the last name.