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Cognomen Cocca (Cocca , Coche ) , around the world, is quite a common family name. The cognomen Cocca is habitual in Liechtenstein, where it is quite a common surname, Italy, where it is quite a rare surname, and France. Not in comparison with a country's population, the name is most common in Italy, France, and the United States. Much less frequently, Cocca is the forename as well as the last name.