 Nyorai kuenderera mberi kweiyi ndima - Munguva yake yekutanga kuParma, Asprilla akarova zvibodzwa makumi maviri neshanu mumitambo makumi masere nemana yeSerie A. Iye anoonekwa semumwe wevatambi vakuru venguva yakabudirira yeParma muma1990. Mumakore ake matatu akazara nekirabhu, Parma yakapedza yechitatu, yechishanu uye yechitatu muSerie A. Kirabhu yakasvikawo kumagumo eEuropean mumwaka wega wega, pamwe nemagumo eCoppa Italia ya1994-95. Akakundawo UEFA Cup Winners Cup muna 1992-93, uyewo mumhanyi-up menduru muna 1993-94 shanduro yemutambo, European Super Cup muna 1993, uye UEFA Cup muna 199495 uye 199899. Muna 1993, akaverengerwawo neFIFA semutambi wechitanhatu-akanakisa pasi rose muFIFA World Player yeGore mubairo. 