 In 1957 he founded Seminários de Música Pro-Arte do Rio de Janeiro along with Hans-Joachim Koellreutter and others.In 1958 he followed an invitation by Hans Sittner to return to Vienna, where he taught a piano class at the Academy of Music (now University of Music and Performing Arts Vienna) until his retirement in 1991.Starting in 1963 Graf frequently taught as an instructor at similar institutions in Europe (Seville, Bilbao, Porto), South America and Japan.