In a fully concealed hinge (1), a connecting device (2) joins a first and a second fastening member (1a;1b) allowing their relative mobility between open and closed position. An arm element (20) of the connecting device (2), hinged on a pin (3) of the first fastening member (1a), has at different positions along said pin (3) a first (5) and a second (6) cam element having corresponding active portions (52, 62) interacting with a first and a second tappet (50, 60) of the first fastening member (1a) in respective, at least partly not superposed, angular fields of rotation of the arm element (20). First and second elastic means (51, 61), biasing the first and second tappet (50,60) respectively, are loaded by increasing the angle of rotation in the first or second angular field, respectively, and released by decreasing said angle of rotation, thereby causing movement towards the closed position.