 Nyorai kuenderera mberi kweiyi ndima - Pasi pehutungamiriri hwevarairidzi Emerich Jenei naAnghel Iordănescu, Steaua yaive nehunhu hunoshamisa hweMakwikwi mumwaka wa1984-85, iyo yaakakunda mushure memakore matanhatu ekuzorora. Gare gare, Steaua yakava kirabhu yekutanga yeRomania kusvika kumagumo eEuropean Cup, iyo yakazopedzisira yakunda Barcelona pazvirango 2 0 nekuda kwemubati wepagedhi Helmuth Duckadam achidzivirira zvese zvina zvirango zvakatorwa nevaSpanish, mushure mekusaita zvibodzwa. Steaua nokudaro akava chikwata chokutanga chokuEastern Europe kuti atore zita remakwikwi eEurope. Imwezve European Super Cup yakakundwa muna 1987 vachipesana neDynamo Kyiv. Steaua yakaramba iri pamusoro penhabvu yeEuropean kwemakumi emakore, ichibata imwezve European Cup semi-fainari muna 1987-88 uye imwezve European Cup yekupedzisira muna 1989akarasikirwa ne40 kuMilan. Kunyanya, izvi zvaive kuwedzera kune mamwe mazita mana emunyika 1985 86, 1986 87, 1987 88, 1988 89 uye makapu mana emunyika 1984 85, 1986 87, 1987 88, 1988 89. Uyezve, kubva muna June 1986 kusvika muna September 1989, Steaua akarova rekodhi yemitambo 104 isina kukundwa mumakwikwi, achiisa rekodhi yenyika yenguva iyoyo uye imwe yeEurope ichiripo. 