GENOA 2 MILAN 0
Giuseppe Sculli fired the home side in front on the half hour after Diego Milito had chested the ball into his path in front of goal.
Milan tried to respond after the break but Genoa were more dangerous on the counter-attack and Milito sealed the win with a late penalty after a foul by Paolo Maldini.
Milan have no points in Serie A following their 2-1 defeat by promoted Bologna at the San Siro in their opener.
Brazilian-Italian Amauri finished low past Samir Handanovic after Momo Sissoko failed to get a close-range shot away.
The win put the Bianconeri in joint third and came after incessant pressure and several missed chances, particularly from Vincenzo Iaquinta.
Dane Christian Poulsen also hit the crossbar with a long-range shot.
BOLOGNA 0 ATALANTA 1
Atalanta’s Tiberio Guarente slotted the ball home with Bologna keeper Francesco Antonioli caught off his line in the ninth minute.
Bologna never looked likely to equalise and the visitors deservedly made it two wins from their first two league games.
LAZIO 2 SAMPDORIA 0
Mauro Zarate curled a splendid shot under the crossbar in the seventh minute and his strike partner Goran Pandev controlled a long pass before knocking the ball past Sampdoria keeper Antonio Mirante in the 72nd to maintain Lazio’s 100 percent record.
LECCE 2 CHIEVO 0
Second-half goals by Fabio Caserta and Jose Castillo gave Lecce victory over their uninspired visitors.
NAPOLI 2 FIORENTINA 1
Adrian Mutu put Fiorentina in front after Alberto Gilardino’s delightful flick with the outside of his boot five minutes before the break, although Television replays suggested the Romania striker might have been offside.
Napoli came back in the second half with a Marek Hamsik tap-in and a headed goal by Christian Maggio.
REGGINA 1 TORINO 1
Former Reggina striker Nicola Amoruso gave Torino the lead in the 13th minute with a deflected shot after the home side had twice hit the woodwork.
The hosts equalised just before the break when Torino defender Marco Di Loreto diverted a cross into his own net.
SIENA 2 CAGLIARI 0
Emanuele Calaio poked the Tuscan hosts ahead in the 10th and substitute Abdel Kader Ghezzal coolly finished off a counter-attack deep into stoppage time to make it 2-0.
Argentine forward Joaquin Larrivey had had a goal disallowed for a dubious offside and missed a sitter in the second half.