A process for overwrapping a catamenial tampon comprising the steps of: a) providing a substantially cylindrical overwrapper material having an open end, a closed end, and a first length; b) inserting a catamenial tampon having a tapered insertion end, a longitudinal axis, and a length less than the first length into the cylindrical overwrapper material, the open end of the overwrapper material extending beyond the insertion end of the inserted catamenial tampon; c) closing the open end of the overwrapper material by: i) applying at least three concave clamping jaws, which comprise a contacting end and a pivoting end, to the open end of the overwrapper material to urge the overwrapper material toward the longitudinal axis of the catamenial tampon; to conform portions of the overwrapper material to the insertion end of the catamenial tampon; wherein the overwrapper material between adjacent clamping jaws is sealed to form fins extending outwardly from the conformed portions by heating the overwrapper material by sealing surfaces of the clamping jaws; characterized in that the clamping jaws are heated by heating elements, which are insertable through a bore and which penetrate contacting ends of the clamping jaws such that the sealing surfaces are heated to a predetermined temperature; and ii) in that the fins are pressed to the conformed portions of the overwrapper material. a) providing a substantially cylindrical overwrapper material having an open end, a closed end, and a first length; b) inserting a catamenial tampon having a tapered insertion end, a longitudinal axis, and a length less than the first length into the cylindrical overwrapper material, the open end of the overwrapper material extending beyond the insertion end of the inserted catamenial tampon; c) closing the open end of the overwrapper material by: i) applying at least three concave clamping jaws, which comprise a contacting end and a pivoting end, to the open end of the overwrapper material to urge the overwrapper material toward the longitudinal axis of the catamenial tampon; to conform portions of the overwrapper material to the insertion end of the catamenial tampon; wherein the overwrapper material between adjacent clamping jaws is sealed to form fins extending outwardly from the conformed portions by heating the overwrapper material by sealing surfaces of the clamping jaws; characterized in that the clamping jaws are heated by heating elements, which are insertable through a bore and which penetrate contacting ends of the clamping jaws such that the sealing surfaces are heated to a predetermined temperature; and ii) in that the fins are pressed to the conformed portions of the overwrapper material. i) applying at least three concave clamping jaws, which comprise a contacting end and a pivoting end, to the open end of the overwrapper material to urge the overwrapper material toward the longitudinal axis of the catamenial tampon; to conform portions of the overwrapper material to the insertion end of the catamenial tampon; wherein the overwrapper material between adjacent clamping jaws is sealed to form fins extending outwardly from the conformed portions by heating the overwrapper material by sealing surfaces of the clamping jaws; ii) in that the fins are pressed to the conformed portions of the overwrapper material.