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 with respect to the primary stem axis;a 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 first interlocking means (24; 25; 25') at the proximal end having an insert axis that is eccentrically offset from the metaphyseal axis (290), the metaphysis configured for attachment to the stem at a plurality of rotational positions of the metaphysis about the metaphyseal axis; anda reverse insert (30; 30'; 30"), the reverse insert having a proximal end (39; 39') and a distal end (31; 31'), wherein the proximal end comprises a concave cup (38; 38') formed about a cup axis (380; 380'; 380") and configured to receive a glenosphere, and wherein the distal end comprises second interlocking means (36, 37; 36', 37'; 36", 37"),wherein an interface surface between the first and second interlocking means has a rotational symmetry about the insert axis (290).