A shoulder prosthesis includes a vault-filling component defining a bearing-facing surface and having a first coupling component, the vault-filling component including (i) a vault-filling first portion defining a first part of the bearing-facing surface, and (ii) a projecting second portion projecting from the vault-filling first portion so as to define a second part of the bearing-facing surface. The vault-filling first portion and the projecting second portion define a bone space therebetween. The shoulder prosthesis further includes a bearing component defining a bearing surface and having a second coupling component configured to cooperate with the first coupling component to couple the bearing component to the vault-filling component. At least one bone attachment member positioned in the bone space. The projecting second portion of the vault-filling component further defines a scapula-facing surface. The vault-filling first portion of the vault-filling component further defines (i) a first lateral surface extending from the scapula-facing surface, and (ii) a second lateral surface extending from the first part of the bearing-facing surface. The first lateral surface and the second lateral surface taper towards each other in a direction extending away from the bearing-facing surface.