However he played there only for one season, and was signed by A.S. Roma in 1964 when they won the Coppa Italia, and finally by A.C. Milan in 1965.
На чемпионате мира 1966 в матче со сборной Уругвая Шнеллингер выбил мяч из ворот рукой, однако судья не заметил нарушения правил.