A system for pultruding a beam, such as a pultruded beam of natural fibers, comprises a pulling mechanism continuously pulling on a preform of yarns including a thermoplastic matrix and fibers, the pulling mechanism being downstream of the system. A sequence is provided in the system and has a pre-heating module to pre-heat the preform. A first die has a tapering channel portion heated such that the preform reaches a desired low viscosity temperature for resin in the thermoplastic matrix to impregnate the fibers. A vacuum module has a vacuum cavity to remove air from the preform exiting the first die. A second die has a tapering channel portion heated such that the preform is at the desired low viscosity temperature for resin in the thermoplastic matrix to further impregnate the fibers. A cooling module to cool the beam before the beam reaches the pulling mechanism. A system for pultruding beams is also provided.