Carpi secured their first ever Serie A victory with a 2-1 defeat of third-placed Torino in Beppe Sannino's first game as manager.
Fiorentina ended Inter Milan's perfect record in stunning style while AC Milan were beaten and Lazio moved up to fourth.
Juventus could only draw 1-1 at home to Frosinone in Serie A on Wednesday, as leaders Inter Milan beat Hellas Verona 1-0.
A Gonzalo Higuain-inspired Napoli ran riot against Lazio while there were also wins for Inter Milan and Fiorentina.
Mario Balotelli hit the post as AC Milan lost 1-0 to leaders Inter in Serie A on Sunday, while Torino remain unbeaten.
Serie A champions Juventus saw their 47-match unbeaten home league record come to an end against Udinese.
Differing fortunes for Rome rivals as Lazio beat Bologna and Roma are held by Verona on Serie A's opening day.
Luca Toni expressed his delight after signing a new contract with Serie A side Hellas Verona.
Juanito denied champions Juventus a winning end to the Serie A season as they played out a 2-2 draw against Verona.
Fiorentina qualified for the Europa League while Stephan El Shaarawy scored his first goal in seven months for AC Milan.
Liverpool give U21s more game time than Premier League rivals but top flight lags behind Europe.
Veteran Verona hitman Luca Toni is well-placed to finish the Serie A season as top scorer after a brace against Parma.
Hellas Verona rallied from behind to beat Empoli 2-1 and enhance their chances of finishing in the top half.
Napoli's hopes of Champions League qualification suffered a setback as they drew 2-2 at rock-bottom Parma in Serie A on Sunday.
Chievo and Hellas Verona drew 2-2 in Sunday's derby with all of the goals scored in a thrilling first half.
Udinese ensured they will compete in Serie A again next season after claiming a 1-0 victory at Hellas Verona on Sunday.
Sampdoria were held to a 1-1 draw at home by Hellas Verona in Serie A on Wednesday night.
Juventus will have to wait another week to secure their status as Serie A champions after falling to a 2-1 defeat at Torino.
Luca Toni struck twice in the second half to fire 10-man Hellas Verona to a 3-2 home triumph over Sassuolo.
Fiorentina's slim Champions League hopes were all but extinguished by a 1-0 defeat to Hellas Verona.