Abstract: This invention relates to a process for making a tubular structure formed by a film of extruded synthetic matter whose walls are at least partially perforated, including the steps of extruding from an annular die a tubular film having gaps or voids obtained in manner known per se by teeth which temporarily obturate the outlet of said die, and extruding and forming the film on leaving the die after flow of matter in the plastic state, upstream of the die, in a ring-shaped passage of which the outlet constitutes the die, this passage being of constant thickness equal to the width of the extrusion slot and consequently to the final thickness of the film, the flow of plastic material in this ring-shaped passage causing an effect of lamination of the matter ensuring dimensional stability, particularly the thickness of the film obtained at the outlet of the die, and in particular avoiding the formation of excess thickness or surface roughness on the film thus extruded.