A multi-piece snap-in fastener adapted to adjoin a surface element to a backing panel. The fastener includes a docking base of tray-like construction including a pair of opposing lateral sidewalls including at least one inboard protuberance element projecting in overlying relation to the interior surface. A displaceable clip head including at least one male projection element extending outwardly from one side of a support platform is configured for insertion in nesting relation between the lateral sidewalls. The support platform includes outboard protuberance elements projecting outwardly from lateral sides of the support platform such that upon insertion of the support platform between the lateral sidewalls, the outboard protuberance elements are disposed in underlapping relation to opposing inboard protuberance elements projecting from the lateral sidewalls.