 Nyora kupfuurira kweiyi ndima - NaMilan, Costacurta akahwina Scudetto kanomwe uye European Cup UEFA Champions League kashanu, muna 1989, 1990, 1994, 2003 na2007, kunyangwe asina kuoneka muchikwata chemakwikwi ekupedzisira a1994 na2007. Costacurta akahwinawo Coppa Italia, mashanu Supercoppa Italiana, mana UEFA Supercups uye maviri Intercontinental Cups neMilan. Akakwanisawo kusvika mamwe matatu UEFA Champions League magumo, umo Milan yakarasikirwa neMarseille muna 1992-93, Ajax muna 1994-95 neLiverpool muna 2004-05, iine huwandu hwemagumo masere akasvika uye mashanu akakunda. Akasvikawo kumakwikwi maviri akatevedzana eIntercontinental Cup, uko Milan yakakundwa 32 naSão Paulo muna 1993 uye 20 naVélez Sársfield uko Costacurta akadzingwa muminiti ye85 muna 1994, pamwe nekurasikirwa pa1993 UEFA Super Cup kuParma pasi paFabio Capello uye 2003 Intercontinental CupKuBoca Juniors pasi paCarlo Ancelotti. Costacurta akaita 662 kuonekwa nokuda Milan yose basa rake 458 muna Serie A, 78 muna Coppa Italia, 108 muna European Makwikwi, 5 kuonekwa muna Intercontinental Cup yokupedzisira, 6 muna Italian Super Cup yokupedzisira, uye 7 muna UEFA Super Cup yokupedzisira. Akatora zvibodzwa zvitatu chete muSerie A, aine chekutanga achiuya mukukundwa kwe3-1 muMilan Inter derby musi wa13 Kurume 1990. Yechipiri yakauya mu 41 pamusoro peRoma kuSan Siro, musi wa 3 Mbudzi, kwaakarova chinangwa chechina chemutambo, uye chinangwa chake chekupedzisira chakawanikwa mukukundwa ne32 kuUdinese pamutambo wekupedzisira webasa rake. Costacurta ndiye mutambi wechitatu weMilan mumitambo yepamutemo, aine 662 makapu; Franco Baresi 719 naPaolo Maldini 902 chete ndivo vakakwanisa kuoneka zvakanyanya. 