A method and apparatus for imparting a rounded tip to a length of multi-layered tubing to form a urinary catheter includes a plurality of dies with internal geometry to successively push back an end region of an inner layer of the multi-layered tubing, exposing an interior of an end region of an external layer, and forming that end region of the external layer into a rounded end that is free of bald spots. The end region of the external layer may be thinned out by an intermediate die having an elongate conical die plug therein. Gravity and vacuum pressure may be used to facilitate flow of material of which at least one of the layers of the multi-layered tubing is constructed when heated to a deformable condition.
