A method for the co-extrusion of a complex rubber profiled element intended for the manufacture of a tyre, the complex profiled element comprising along its height (H20) a first layer , referred to as sublayer, of a first rubbery material, and a second layer , referred to as tread, of a second rubbery material superposed on the sublayer, this tread and this sublayer having at least one discontinuity (D20) in the width (W20) of the complex profiled element that extends in a transverse direction (DT) so that at least one insert of a third rubbery material is inserted into a discontinuity (D20) of the tread and of the sublayer at the time of co-extrusion, the method consisting in extruding and profiling the various rubbery materials over a given co-extrusion width (L50) and in a longitudinal direction (DL1) of co-extrusion perpendicular to the transverse plane (PT) of the co-extruded profiled element, the method comprising the following succession of steps consisting in: a) extruding the first material, this being performed discontinuously across the co-extrusion width (L50), b) first profiling of the first material, performed discontinuously across the co-extrusion width (L50), c) extruding the second material, this being performed discontinuously across the co-extrusion width (L50) and performed in such a way as to superpose the second material on the first material, d) profiling the first and second materials to a profile (P66) exhibiting no discontinuity across the co-extrusion width (L50) but creating at least one longitudinal groove in the profiled element , this profiling being performed jointly with at least an extruding of the third material next to each longitudinal groove created in the profiled element , and e) final profiling of the first, second and third materials to a final profile (P74) exhibiting no discontinuity across the co-extrusion width (L50) but allowing its final shape to be given to each longitudinal groove created in the profiled element in the preceding step d) and situated transversely next to each insert originating from an extrusion of the third material according to the preceding step d), in which, with the third material being extruded next to each longitudinal groove according to an outlet cross section of determined shape, a band of non-zero height and width of the first material is extruded upstream of each third-material outlet section and underneath each third-material outlet section. a) extruding the first material, this being performed discontinuously across the co-extrusion width (L50), b) first profiling of the first material, performed discontinuously across the co-extrusion width (L50), c) extruding the second material, this being performed discontinuously across the co-extrusion width (L50) and performed in such a way as to superpose the second material on the first material, d) profiling the first and second materials to a profile (P66) exhibiting no discontinuity across the co-extrusion width (L50) but creating at least one longitudinal groove in the profiled element , this profiling being performed jointly with at least an extruding of the third material next to each longitudinal groove created in the profiled element , and e) final profiling of the first, second and third materials to a final profile (P74) exhibiting no discontinuity across the co-extrusion width (L50) but allowing its final shape to be given to each longitudinal groove created in the profiled element in the preceding step d) and situated transversely next to each insert originating from an extrusion of the third material according to the preceding step d), in which, with the third material being extruded next to each longitudinal groove according to an outlet cross section of determined shape, a band of non-zero height and width of the first material is extruded upstream of each third-material outlet section and underneath each third-material outlet section. <EOS>