Title contenders Napoli had heaped the pressure on Juventus after a 4-0 rout of Livorno which moved Rafael Benitez's men up to second place in the table.
But after being stunned by Sulley Muntari's first-minute opener in Turin, Antonio Conte's men were soon level thanks to Andrea Pirlo's sublime free kick.
In a pulsating encounter played in torrential rain, Juve upped the pace after the interval when Sebastian Giovinco gave the hosts a 2-1 lead and Giorgio Chiellini added a third following the expulsion of Milan defender Phillip Mexes.
It was a combative and at times bad tempered affair and after Mexes was red-carded for manhandling Chiellini in the box at a corner, the Italy defender called for the Frenchman to be harshly sanctioned.
"This kind of thing needs a heavy sanction," said the Italy defender.
"Some people just won't learn. When you're tough and determined, that's fair enough because at the end of the day you get up from a hard tackle and shake hands. But that is just not football."
Roma host Napoli in two weeks' time following a break for World Cup qualifiers, and Benitez was clearly buoyant with his side's performance following a 2-0 Champions League defeat to Arsenal last week.
"It was important to get back to winning ways," said the Spaniard.
"Roma have won seven out of seven but we've won six and drawn one, so we're on a level playing field.
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