Mauro Icardi inspired a superb comeback win for Inter as they beat Juventus 2-1 on Sunday, while Roma lost at Fiorentina.
Andrea Belotti scored a hat-trick and missed a penalty as Torino cruised to a 5-1 victory over Bologna in Serie A.
Inter Milan suffered a surprise 2-0 defeat to Chievo on the opening weekend of Serie A while Napoli also struggled.
Genoa defender Armando Izzo has denied any involvement in the latest match-fixing scandal to hit Italian football.
Juventus are closing in on a fifth consecutive Serie A title after emerging victorious from a gritty game with Fiorentina.
Paulo Dybala scored twice as Juventus thrashed Lazio 3-0 to take what could prove to be a decisive lead in Serie A.
Inter Milan left Napoli's Serie A title hopes hanging by a thread on Saturday after a 2-0 home victory.
Paul Pogba sustained Juventus' march towards a fifth straight Serie A title by completing a 2-1 comeback victory over AC Milan.
Juventus have moved a step closer to a record-equalling fifth successive Serie A title after their closest rivals Napoli lost at Udinese.
Goalkeeper Gianluigi Buffon added another record to his decorated career during Juventus' 4-1 win over local rivals Torino.
Juventus restored their three-point advantage at the top of Serie A with a 2-0 win at Atalanta on Sunday.
Juventus threw down the gauntlet to Serie A title rivals Napoli by pulling four points clear at the top of the table.
Roma routed Palermo without Francesco Totti on Sunday, while Fiorentina kept pace in the Serie A title race.
Fiorentina moved up to third in Serie A after beating Inter Milan 2-1 on Sunday in a game that featured three red cards.
Fiorentina had Matias Fernandez sent off as they drew 1-1 with Bologna in Serie A on Saturday.
Crystal Palace are bottom of the Europe-wide form table - and only one Premier League team makes the top 10.
Ten-man Juventus needed an own goal from Genoa defender Sebastian De Maio to maintain their pursuit of Serie A leaders Napoli.
Roma have beaten the transfer deadline to sign Argentinian winger Diego Perotti on loan from Genoa.
There were wins for Juventus, Napoli and Fiorentina on Sunday in Serie A as the race for the title in Italy hots up.
Juventus blew Udinese away 4-0 to record their 10th consecutive Serie A victory while AC Milan beat Fiorentina.