A stamping system comprising: - a trimmed blank comprising continuous reinforcing fibers in a thermoplastic polymer matrix; - a transfer frame configured to hold the blank along at least two edgings (102, 103) of said blank and comprising an open area between these edgings; - a stamping device comprising a stamping die and a punch movable with respect to the stamping die between an open position and a closed position, the closed position defining an air gap between walls of the stamping die and walls of the punch; - means for moving the transfer frame above the stamping die to a first position above a resting surface of the stamping die and a second position below the resting surface and wherein the blank rests on the resting surface of the stamping die; wherein: - the blank comprises on one of the at the least two edgings (102, 103) at least two positioning bore holes (121, 122) configured to cooperate with two centering pins carried by the transfer frame; - the blank comprises two oblong slots (125. 126) configured to cooperate with at least two guiding pins carried by the die; - the transfer frame comprises a comb-shaped support member comprising a plurality of teeth configured to support the blank on a holding surface extending along another of the at least two edgings (102, 103) of the blank and holding pegs protruding from ends of the teeth of the comb-shaped support member and perpendicular to the holding surface; - the blank comprises holding slots configured to cooperate with the holding pegs of the comb-shaped support member; - a perimeter of the stamping die in a plane parallel to the resting surface is contained in the open area of the transfer frame; and - the transfer frame comprises thermal protection hinged flaps, configured to cover the blank and the centering pins in the vicinity of the positioning bore holes (121, 122, 123, 124) when the blank is laid on the transfer frame. - a transfer frame configured to hold the blank along at least two edgings (102, 103) of said blank and comprising an open area between these edgings; - a stamping device comprising a stamping die and a punch movable with respect to the stamping die between an open position and a closed position, the closed position defining an air gap between walls of the stamping die and walls of the punch; - means for moving the transfer frame above the stamping die to a first position above a resting surface of the stamping die and a second position below the resting surface and wherein the blank rests on the resting surface of the stamping die; wherein: - the blank comprises on one of the at the least two edgings (102, 103) at least two positioning bore holes (121, 122) configured to cooperate with two centering pins carried by the transfer frame; - the blank comprises two oblong slots (125. 126) configured to cooperate with at least two guiding pins carried by the die; - the transfer frame comprises a comb-shaped support member comprising a plurality of teeth configured to support the blank on a holding surface extending along another of the at least two edgings (102, 103) of the blank and holding pegs protruding from ends of the teeth of the comb-shaped support member and perpendicular to the holding surface; - the blank comprises holding slots configured to cooperate with the holding pegs of the comb-shaped support member; - a perimeter of the stamping die in a plane parallel to the resting surface is contained in the open area of the transfer frame; and - the transfer frame comprises thermal protection hinged flaps, configured to cover the blank and the centering pins in the vicinity of the positioning bore holes (121, 122, 123, 124) when the blank is laid on the transfer frame. - the blank comprises on one of the at the least two edgings (102, 103) at least two positioning bore holes (121, 122) configured to cooperate with two centering pins carried by the transfer frame; - the blank comprises two oblong slots (125. 126) configured to cooperate with at least two guiding pins carried by the die; - the transfer frame comprises a comb-shaped support member comprising a plurality of teeth configured to support the blank on a holding surface extending along another of the at least two edgings (102, 103) of the blank and holding pegs protruding from ends of the teeth of the comb-shaped support member and perpendicular to the holding surface; - the blank comprises holding slots configured to cooperate with the holding pegs of the comb-shaped support member; - a perimeter of the stamping die in a plane parallel to the resting surface is contained in the open area of the transfer frame; and - the transfer frame comprises thermal protection hinged flaps, configured to cover the blank and the centering pins in the vicinity of the positioning bore holes (121, 122, 123, 124) when the blank is laid on the transfer frame.