Inter’s Denzel Dumfries was ruled to have caught Alex Sandro inside the box, with the referee making the decision after viewing the pitchside monitor.
Inter coach Simone Inzaghi was sent off for his angry reaction to the decision.
Edin Dzeko had put Inter ahead in the Derby d’Italia, turning in after Hakan Calhanoglu struck the post from range.
Inter are seven points adrift of the top two in third, while the draw keeps Juventus one point from a Champions League place in sixth.
Former Serie A defender Daniele Adani was unimpressed by the Derby d’Italia that Juventus and Inter Milan played on Sunday and he aimed another dig at the Bianconeri.
He said the match was a poor show of Italian football and slammed Juve for their style of play, which he hints creates very few chances.
“Fans from all over the world saw a poor show. There couldn’t be a worse promotion in the world for Serie A,” he said as quoted by Football Italia
“I saw many players laugh between them at the end of the game. How can they do it? This can’t be the image of Italian football around the world.”
He adds: “What are Juventus offering? How do they play? Manchester United and Liverpool had 25 shots on target in 30 minutes, if Juventus are lucky, they can produce 15 shots in one month.”
One of the big talking points after the game was the benching of Fede Chiesa and Allegri was asked about the decision.
“Chiesa is a top player, he’s played many games already. On Sunday, I was wrong, but I had read the game in a different way, with Kulusevski man-marking Brozovic,” said Allegri.
“It’s not a problem if a player starts on the bench, there are many games. Chiesa didn’t go on the bench because he deserved it. I had read the game in a certain way. Eventually, when he was introduced, we needed more quality and he had a great impact.
“Federico is a reference point for the national team and Juventus, but if I use the same players all the time, I’ll need 20 new players in January.
“We hope we’ll play 57 games this season and sometimes players must rest. They can benefit from it, physically and mentally.”