The result left second-placed Inter on 39 points from 18 matches, 10 points behind Juventus, who beat Palermo 2-1 on Saturday.
Images from the UEFA Champions League matches played on Tuesday night.
AC Milan will meet Liverpool in the Champions League final for the second time in three seasons.
AC Milan striker Mario Balotelli has been given a three-match ban for his sending-off at the end of Sunday's 2-1 home defeat by Napoli, the Italian league said in a statement on Monday.
UEFA announces UCL final hosts for next four seasons.
AC Milan entered the final of the Champions League on the away goals rule despite losing 1-3 to PSV Eindhoven in the second leg semi-final on Wednesday.
A place in the Istanbul final on May 25 beckons if Chelsea and Milan can exploit home advantage.
Chelsea beat Bayern Munich 4-2 while while Milan beat city rivals Inter 2-0 in the UEFA Champions League first leg quarter-finals.\n\n
Inter were 4-1 up after Marco Materazzi scored in the 68th minute but the defender's excessive goal celebration led to him being sent off for a second yellow card and his side were then left to struggle with 10 men.
AC Milan moved smoothly into the quarter-finals of the Italian Cup with a 2-0 win over Palermo.
Goals from David Trezeguet and Pavel Nedved gave them a 2-0 win at Modena on Saturday.
Rediff.com brings you some of the highlights from the sporting events held last week...
IMAGES from the EPL matches played on Saturday
Barcelona coach Ernesto Valverde said captain Lionel Messi could feature against Inter Milan in the Champions League, on Tuesday, little more than two weeks after breaking his arm.
Hard running, hard tackling and an ever-visible aggression and determination characterise Gennaro Gattuso.
Barcelona's 1-0 victory brought to an end to AC Milan's 13-match unbeaten home run in Europe.
The day after AC Milan and Juventus drew 1-1, AS Roma president Franco Sensi said the result was planned.
European champions AC Milan beat Lazio 1-0 at the San Siro on Sunday to join Juventus at the top of Serie A.
A fitter Atletico Madrid will face off against Spanish neighbours Real Madrid in their second UEFA Champions League final in three years.
AC Milan won the Italian Cup with a 2-2 draw with AS Roma in the second leg of the final on Saturday.