Fixing system for hooking a fabric to a foamed element of vehicle seat

The system for fastening a cover (1) to the foam cushion (2) of a car seat comprises a profiled strip (5) with a mushroom-shaped cross-section. This is attached to the cover by a strip of textile (4). A clip (9) with hooked ends (11) is attached to a plate (10) and fits around the profile to hold it in position.