Abstract: The invention relates to a thermoplastic elastomer with an excellent adhesion to cross-linked ethylene propylene diene rubber (EPDM) or rubber mixtures containing cross-linked EPDM. The invention also relates to the use of the thermoplastic elastomer according to the invention for producing a composite material with cross-linked EPDM or rubber mixtures containing cross-linked EPDM, as well as an article that comprises a thermoplastic elastomer according to the invention and cross-linked EPDM or rubber mixtures containing cross-linked EPDM. The present invention also relates to a process for producing a thermoplastic elastomer.