An overmolding process for a hollow receptacle provided with a neck, and an axial body with a shoulder a sidewall and a bottom, the hollow receptacle, having axial height H and larger cross-section S. When the mould is open, the neck bears in contact with an axial support so as to mask the neck during the overmolding process. Before closing the mold, the sidewall is placed in a lateral positioning device that can be moved along an axial direction of the mold. After the mold has been closed, the lateral positioning device is displaced in the axial direction as the material flow injected into the axial cavity and forming an annular flow.