A system and process for separating and linking composite fibers, fiber bundles and the like in a filament winding installation (10) for the manufacture of rotationally symmetric wound packages (70) has a feeding device (11) for a fiber strand (12) impregnated with a matrix material which is wound on a rotatably driven base element (20). The system has at least one separating device (30) for cutting the fiber strand (12) and contacting the package-sided end (13) of the fiber strand (12) on the completed wound package (70). Also provided is at least one binding device (50) for linking the free end (14) of the fiber strand (12) with an adjacent new non-wound base element (20).