An attachment element (1;51), includes a boring head (5), a hollow cylindrical receiving body (2; 53) having, at its end (4) facing in a setting direction (S) of the attachment element (1; 51), a recess for receiving the boring head (5) and at its opposite end (6), an engagement element (7), the attachment element further having at least one outlet opening (10.1; 10.2) through which a mortar mass located in the receiving body (2; 53) is squeezed out under a pressure applied by a piston (27), a channel section (29) extending between the mortar mass and the at least one outlet opening (10.1; 10.2), and an inner tube (21; 52) arranged in the receiving body (2; 53) at a predetermined distance from an inner wall of the receiving body (2; 53) for forming at least one suction channel (22; 42.1; 42.2) and in which the mortar mass and the channel section (29) are arranged.