Cristiano Ronaldo revelled in Juventus' victory over rivals Inter as the Serie A champions moved back to the top of the Serie A table.
Head coach Maurizio Sarri played down the importance of Juventus replacing Inter Milan at the top of Serie A after beating them 2-1 at San Siro on Sunday.
"The important things is that we showed a performance of character and personality against a strong team in a high-tension environment".
Paulo Dybala's opener for Juve was cancelled out by a Lautaro Martínez penalty before Higuaín's late decider ended Conte's unbeaten start in the league.
Ronaldo thought he had restored Juve's advantage four minutes from halftime but Dybala had strayed offside when he provided the assist and the goal was disallowed.
Juventus defender Matthijs de Ligt has struggled since his big-money move from Ajax and he gave away a penalty for handball.
Sarri sent on Higuain and Rodrigo Bentancur as Juve chased a victor in the second half and the changes worked wonders.
The champions got off to a blistering start with Miralem Pjanic setting up Dybala who took Inter goalkeeper Samir Handanovic by surprise. Second-half substitute Higuain had different concepts, although.
Conte - who kick-started Juve's run of eight straight titles by delivering the first three - came out second best against his former side. "Inter were the most solid side in the league, they had won six out of six".
Napoli drew 0-0 at Torino, while Roma was held 1-1 by Cagliari.
"I don't have anything to say to the guys because we still have a long way to go in terms of how we manage and understand moments in a match".
But what looked like a victor from Kalinic was disallowed without a VAR review for a foul on Fabio Pisacane which saw the Cagliari defender stretchered off.
Lazio midfielder Lucas Leiva was sent off in the 59th minute and Bologna counterpart Gary Medel followed him 10 minutes later.
In Tuscany, Nikola Milenkovic nodded in the only goal after 72 minutes to give Fiorentina their third consecutive win as Udinese fell to their fourth defeat in seven games.
