A seamless tube-like blank is formed and cut into single annular parts which consecutively are profiled by means of two tools having the shape of solids of rotation. During the profiling operation, the specific surface pressure on the inside and on the outside of the workpiece is equal. Preferably, an inner profiling roller and an outer annular profiling tool is used, the mutual distance thereof being variable. Simultaneously, the inner roller acts on the workpiece with its convex outer surface, and the outer annular tool acts on the workpiece with its concave inner surface. Thus, the effective surface pressures on the inside and on the outside of the workpiece are equal during processing thereof. The apparatus is equally well suited for the manufacturing of steel rims and aluminium rims.