Media reported that Juve fans chanted "there are no black Italians" during the Turin's side's third consecutive defeat in all competitions.
Juve were forced to play a game behind closed doors last season after supporters directed the same chant at Inter Milan forward Mario Balotelli, an Italian of Ghanaian decent.
There were fears Juve's match against Inter two weeks ago would have to be abandoned after their supporters again chanted against the black striker in the run-up to the game but the fans behaved on the night of their team's 2-1 win.
Juve fans are angry about their third-placed team's poor form after last week's 3-1 defeat at Bari and a Champions League exit that came after a 4-1 drubbing from Bayern Munich.
The team bus was hit by an egg on its way into the ground on Sunday while some home fans stood with their backs to the pitch during the game and targeted the club management in other chants.
There were also problems off the field at Livorno's 3-1 home win over Sampdoria.
The match was stopped briefly in the first half after firecrackers were let off by the notoriously left-wing home fans, who also sang chants in favour of the man who attacked Italian Premier Silvio Berlusconi in Milan last week.
