In 1994–95, Parma again reached the final of a major European competition as they faced Italian compatriots Juventus in the final of the UEFA Cup. Asprilla was instrumental in Parma's run to the final, with three goals over two legs in the semi-final against Bayer Leverkusen. In the final itself, Asprilla was in the starting XI for both legs as Parma defeated Juventus 2–1 on aggregate.