Claudio Ranieri's reign as Inter Milan manager got off to a winning start with a 3-1 victory over Bologna, while AC Milan beat Cesena.
Gian Piero Gasperini was dismissed as Inter boss this week following a dismal start to the season that had left the team languishing in the Serie A relegation zone after three games.
And Ranieri's arrival in the dugout had the desired effect as Inter secured their first win of the campaign by seeing off ten-man Bologna away from home.
Giampaolo Pazzini put the visitors in front in the 39th minute, before Alessandro Diamanti levelled with a penalty in the 66th minute.
Archimede Morleo was sent off after giving away a penalty in the 81st minute, from which Diego Milito put Inter back in front, and Lucio rounded off the scoring three minutes from time to catapult Inter away from the danger zone.
Defending champions AC Milan also picked up their first victory of the new season as Clarence Seedorf's early strike proved enough to see off Cesena.
Cesena had not picked up a single point in their opening three games and made the worst possible start at the San Siro when Seedorf's long-range effort from out wide beat goalkeeper Nicola Ravaglia.
The visitors kept fighting but could not find an equaliser and remain bottom of the standings, while Milan are up into the top half ahead of Sunday's games.
Napoli failed to bounce back with a win after their first defeat of the season as they were held to a goalless draw by Fiorentina at the Stadio San Paolo.
Napoli coach Walter Mazzarri fielded his strongest available side after being criticised for resting too many key players when losing to Chievo in midweek.
But there was no beating the team from Florence.