The method comprises a step of having a glenoid component (10; 200; 220; 240; 260; 280; 440; 480) comprising an elongate anchoring structure (12; 234; 246; 266; 286; 368; 446; 488) which extends lengthwise from a face (11B; 362) of the glenoid component, intended to be turned toward the glenoid surface (G) upon implantation, and which includes a free end part intended to be anchored into the native layer of the glenoid surface. The method further comprises a step of having a bone graft (2; 204; 224; 242; 262; 282; 366; 458; 486; 500) comprising a medial surface (2C; 484) having a shape complementary to the glenoid surface, a distal surface (2B; 212; 239; 256; 276; 294; 364; 456; 482) having a shape complementary to at least a part of the face of the glenoid component and being spaced from the medial surface by a length (I) lower than the length of the anchoring structure, and a recess (E1) which is centered on an axis (Ex-x) and which passes through the bone graft from the medial surface to the distal surface. The method further comprises a step of forming a composite prosthetic unit by introducing the anchoring structure coaxially into the recess of the bone graft.