Kammala jumla mai zuwa: Bayan kayar da Southampton 4<unk>1 a kan jimlar don ɗaga Kofin League na Anglo-Italiyanci, Napoli ya shiga cikin gasar cin kofin UEFA na 1976<unk>77, inda suka kai wasan kusa da na karshe, inda suka yi rashin nasara 2<unk>1 a kan Anderlecht. Kulob din ya lashe kofin Coppa Italia na biyu a 1975 <unk> 76, inda ya kawar da Milan da Fiorentina "a hanya", kafin ya doke abokan hamayyarsu Hellas Verona 4 <unk> 0 a wasan karshe. A cikin gasar Italiya, Napoli har yanzu suna cikin manyan ƙungiyoyi shida na ƙarshen 1970s. Ko da a cikin farkon yanayi biyu na 1980s, kulob din yana yin aiki mai daraja tare da kammala na uku a gasar zakarun Turai.
1980 zuwa 1981. Duk da haka, a shekara ta 1983, sun ragu sosai kuma sun shiga cikin fadace-fadace.