A method of making frame components for spectacles, comprising the following steps: - superimposing within a first mould, in the following order, at least a first film of plastic material, at least one semi-finished element pre-impregnated with resin, and at least a second film of plastic material, said semi-finished element being a textile having a flat, thin shape, - closing and heating the first mould, the moulding temperature and pressure being applied and maintained until the resin is fully polymerized, the textile being incorporated in a polymer matrix, in order to produce an intermediate component containing the semi-finished element, having a sheet-like shape, imparting greater density and dimensional stability to the textile, but retaining a degree of flexibility or elastic deformability, owing to the reduced overall thickness, - opening the first mould and extracting the intermediate component from the first mould, - placing the intermediate component in a second mould, the cavity mould being curved replicating the curvature specified for the frame component, said intermediate component being laid on the surface of one of the two half-moulds (16a, 16b) of the second mould, - closing the second mould and forming a layer of polymer material on the intermediate component, resulting in mutual adhesion, the layer of polymer material is applied to one of the opposed main surfaces of the intermediate component during the step of moulding in the second mould, to increase the thickness of the intermediate component and to form the curvature specified in the design for the frame component, the moulding of the layer of polymer material on to the intermediate component being carried out by injection moulding in the second mould, - opening the second mould and extracting an article that has been produced by the moulding step in the second mould, - cutting the article, producing the external shape or profile of the frame component, so as to define the final profile of the frame component. - superimposing within a first mould, in the following order, at least a first film of plastic material, at least one semi-finished element pre-impregnated with resin, and at least a second film of plastic material, said semi-finished element being a textile having a flat, thin shape, - closing and heating the first mould, the moulding temperature and pressure being applied and maintained until the resin is fully polymerized, the textile being incorporated in a polymer matrix, in order to produce an intermediate component containing the semi-finished element, having a sheet-like shape, imparting greater density and dimensional stability to the textile, but retaining a degree of flexibility or elastic deformability, owing to the reduced overall thickness, - opening the first mould and extracting the intermediate component from the first mould, - placing the intermediate component in a second mould, the cavity mould being curved replicating the curvature specified for the frame component, said intermediate component being laid on the surface of one of the two half-moulds (16a, 16b) of the second mould, - closing the second mould and forming a layer of polymer material on the intermediate component, resulting in mutual adhesion, the layer of polymer material is applied to one of the opposed main surfaces of the intermediate component during the step of moulding in the second mould, to increase the thickness of the intermediate component and to form the curvature specified in the design for the frame component, the moulding of the layer of polymer material on to the intermediate component being carried out by injection moulding in the second mould, - opening the second mould and extracting an article that has been produced by the moulding step in the second mould, - cutting the article, producing the external shape or profile of the frame component, so as to define the final profile of the frame component.