Cognomen Boci (Boci ) , all over the world, is quite a rare last name. The last name Boci is characteristic of Albania, where it is quite a common surname, Greece, where it is quite a rare surname, and Romania, where it is a rare surname. Measured by absolute frequency, it is commonest in Albania, Greece, and Indonesia. Very seldom, Boci is the forename as well as the last name.