A method for fixing an attached component made of plastic, or a trim, to a periphery of a glazing or to a portion of a molding fixed to the periphery of the glazing, the attached component including a rear face including fixing means for fixing it to the glazing or to the molding,
- wherein the rear face includes plural appendages each of which enters a hole created in the molding or in the glazing and which is open at its two ends onto two opposite faces of the molding or of the glazing respectively,
- the distal end of each appendage projecting beyond a rear face of, respectively, the molding or the glazing delimiting a hole and the distal end of each appendage is deformed by temporary softening, or through application of ultrasound, to come into contact with the rear face of the molding or of the glazing at a periphery of the hole or around an entire periphery of the hole.