This set comprising:an anatomic articulating member, having a concave articulating surface intended to articulate with a complementary humeral implant and having an anatomic coupling feature,a reversed articulating member, having a convex articulating surface intended to articulate with a complementary humeral implant and having a reversed coupling feature that is shaped differently from the anatomic coupling feature, andan anchorage member intended to be anchored in a human glenoid, the anchorage member including a body which defines a proximodistal axis and has inner bore extending along the proximodistal axis, the body being provided within the inner bore with both an inner first feature that is designed to cooperate with the anatomic coupling feature when the anatomic coupling feature is introduced within the inner bore, so as to fixedly couple the anchorage member with the anatomic articulating member, and an inner second feature that is designed to cooperate with the reversed coupling feature when the reversed coupling feature is introduced within the inner bore, so as to fixedly couple the anchorage member with the reversed articulating member, the first feature and the second feature being distinct from each other.The body is operable to be axially introduced into the glenoid before being coupled indifferently with one or the other of the anatomic and reversed articulating members.
