Two Serie A players were banned for three months and 10 days and fined 10,000 euros each on Friday after entering plea bargains in a long-running match-fixing scandal.
Mario Balotelli came off the bench to help fire 10-man AC Milan to a hard-fought 2-0 win at Genoa.
Since Ballardini's appointment as manager, Genoa have drawn with Serie A leaders Juventus and beaten title-chasing Lazio.
After the 1-1 draw on Satruday, Juventus have now won just one of their four league matches in 2013.
Gigi Del Neri has been sacked as coach of Genoa after his side lost 0-2 to fellow strugglers Cagliari in Serie A.
Inter missed the chance to close the gap on Serie A leaders Juventus when they could only manage a 1-1 home draw with Genoa.
AC Milan recorded a much-needed win in beating Genoa 1-0 to move into the top half of the Serie A.
After losing five of eight Italian league matches, Milan is off to their worst start in 71 years.
Roma gave up a two-goal advantage to lose 3-2 to Bologna, which picked up its first points of the season.
Conte led Juventus to the Italian Serie A championship for the first time since the club was relegated in 2006.
Argentine scored a clinical treble to help Inter record a 5-4 victory over Genoa.
Milan won 3-0 at Novara, with two goals from Ibrahimovic and another from Robinho.
Kevin-Prince Boateng suffered a thigh injury in Sunday's Serie A defeat against Inter.
Inter Milan continued their revival from their early season woes as they defeated Genoa 1-0.
Ibrahimovic's penalty helped Milan beat Genoa 2-0 to provisionally move top of Serie A.
Alessandro Matri twice gave Juventus the lead, but Andrea Caracciolo scored late to hold the Serie A leaders.
With new coach Antonio Conte guiding a long list of new players, Juventus remain unbeaten.
Inter Milan returned to winning ways with a 2-1 win against Fiorentina while Genoa beat Sampdoria 1-0.
Sulley Muntari's fortuitous goal gave Serie A defending champion Inter Milan a win over Genoa on Friday.