Juventus needed an unfortunate own goal from Edoardo Goldaniga to squeeze past Palermo while Napoli beat Chievo.
Mauro Icardi inspired a superb comeback win for Inter as they beat Juventus 2-1 on Sunday, while Roma lost at Fiorentina.
Gonzalo Higuain starred for Juventus with two goals as they beat Sassuolo 3-1 in Serie A on Saturday, as Napoli won 3-0 at Palermo.
Palermo have made a double swoop for former West Ham midfielder Alessandro Diamanti and Brazilian forward Bruno Henrique.
Palermo defender Achraf Lazaar is to have a medical at Newcastle United on Saturday afternoon, according to Sky sources.
Inter Milan suffered a surprise 2-0 defeat to Chievo on the opening weekend of Serie A while Napoli also struggled.