Genoa won to lead the early Serie A table, while AC Milan are still searching for their first victory.
Genoa took top spot after Argentinian forward Rodrigo Palacio scored two and set up another in a convincing victory over Catania at the Stadio Luigi Ferraris.
The Grifoni came into this match buoyed by a win over Lazio in Rome on Sunday and Palacio's first-half double followed by Kevin Constant's 79th-minute header took them above Juventus and Udinese on goals scored.
Ten-man Juventus dropped their first points of the new Serie A season after being held at home by struggling Bologna.
Things looked to be going to plan for Antonio Conte's side as they took a 30th-minute lead through Mirko Vucinic at the club's new 41,000-seater stadium.
However, Vucinic then saw red after picking up his second caution on the stroke of half-time to leave Juve with 10 players, and Bologna took full advantage to equalise through Daniele Portanova at the start of the second half to claim their first point after two defeats.
AC Milan were left still searching for their first win of the season after being held to a 1-1 draw by unbeaten Udinese.
Antonio Di Natale continued his record of scoring in every league game this season with the opening goal in the 29th minute, but Stephan El Shaarawy levelled with his first goal in Serie A after 63 minutes to earn a share of the spoils.
Stevan Jovetic scored twice as Fiorentina eased past Parma at the Stadio Artemio Franchi.
Looking to bounce back from their 2-0 defeat at Udinese last Sunday, the hosts struck all three goals in the second half.
Parma, who went into the game inspired by their 2-1 win over Chievo in the last round, never threatened Fiorentina goalkeeper Artur Boruc.
Jovetic gave Fiorentina a deserved lead in the 46th minute before Alessio Cerci doubled his team's advantage on the hour mark and Jovetic added his second with nine minutes remaining.
Lazio came from behind to beat Cesena 2-1 for their first Serie A win of the season.
Adrian Mutu put Cesena ahead in the 14th minute before Hernanes equalised early in the second half from the penalty spot after Mobido Diakite was brought down in the area by Marco Rossi.
Miroslav Klose then gave Lazio a 54th-minute lead and the Romans held on for a victory, while Cesena dropped to the bottom with the defeat.
Previous bottom side Atalanta lifted their Serie A points total into positive figures after only three matches as German Denis' double saw off Lecce.
The visitors, who started the campaign with a six-point deduction after a match-fixing investigation, picked up their second win of the season as Denis struck either side of half-time.
Djamel Mesbah scored a controversial first-half goal for Lecce, who had Carlos Grossmuller sent off shortly after Atalanta's winner.
In the last Serie A clash on Wednesday, substitute Davide Moscardelli scored a 72nd minute winner as Chievo notched their first league win of the campaign at the expense of Napoli, while Palermo beat Cagliari 3-2.
Eran Zahavi put the hosts ahead in the first minute, before Nicolas Bertolo and Fabrizio Miccoli further extended their advantage.
Daniele Conti pulled one back with six minutes remaining and Radja Nainggolan notched at the death but the visitors could not salvage a point.