The invention proposes a modular reverse shoulder prosthesis (1), comprising:a stem (10) having a proximal taper (14) and a primary stem axis (110), the proximal taper extending from the stem about a metaphyseal axis (143), the metaphyseal axis at an angle (111) with respect to the primary stem axis； anda metaphysis (20； 20') having a proximal end (22), a distal end (21), an aperture (23) in the distal end configured to be placed over the proximal taper, and interlocking means (24； 25； 24') at the proximal end having an insert axis (290) that is eccentrically offset from the metaphyseal axis, the metaphysis configured for attachment to the stem at any rotational position of the metaphysis about the metaphyseal axis.
