Disclosed are a method and an apparatus for manufacturing a medical tubular object, such as a catheter, for insertion into a body passageway. The method comprises the steps of extruding a tube by pushing tube material though an extrusion nozzle and cutting the extruded tube at a predetermined length. Further, an initial part of the extruded tube is advanced onto a tapered mandrel arranged adjacent the extrusion nozzle such that a flared end is formed, and after a predetermined length of the extruded tube has been advanced onto the tapered mandrel, the tapered mandrel is moved away from the extrusion nozzle to prevent that the rest of the extruded tube is expanded by the tapered mandrel.