Process for producing a composite article from a polyacetal (component a) with directly molded-on functional elements made from one or more thermoplastic elastomers (component b), and wherein components a and b have differing hardness, and the material with the greater hardness (component a) is initially premolded in a first step in a mold, and then is either cooled and removed from the mold and then placed into another, larger cavity, or is partially removed from the mold, but remains in a portion of the mold, and is then moved to a larger cavity, or, without removal from the mold, remains in the same mold, which is enlarged by means of a movable device, and in a second step, by overmolding with the material with the lesser hardness (component b), the molding formed from component a is firmly bonded to this material and is then removed from the mold as a composite article.