Cuadrado's equaliser from a tight angle was slightly deflected by Milan Skriniar on 87 minutes before Higuain headed in the victor off substitute Paulo Dybala's free-kick two minutes later.
Juve saw their advantage at the top of the table cut to a single point by Napoli last weekend, Kalidou Koulibaly heading home a last-minute victor in Turin.
"We just have to let it go". Minutes later Vecino was shown red for a foul on Mario Mandzukic.
Mauro Icardi headed in the equalizer for Inter seven minutes after the break for his 27th goal this season, and the hosts took the lead when the ball bounced in off Juventus defender Andrea Barzagli.
500 flee Melbourne varsity after durian stench mistaken for gas leak
The spiky fruit, which has an incredibly pungent smell, had been left rotting in a cupboard, according to the statement . As one of the world's smelliest fruits, durian is forbidden in many taxis and hotels throughout Asia.
With Massimiliano Allegri-led side facing AC Milan in the Copa Italia final in May and a possibility that Juventus might lose the league title, Buffon's hope to retire with a stellar season might just end up as a mirage if he loses the Serie A title to Napoli and Coppa Italia to AC Milan.
Juventus, held to a draw by struggling Crotone before that loss to Napoli, will attempt to address their recent blip in form on Saturday evening when they travel to face Inter Milan at the San Siro. This is one of those matches where you must take responsibility and look to come up with the plays that make the difference.
Monaco's stalemate leaves it winless in three matches, while Marseille visits Angers Sunday as the two sides fight it out with Lyon for two Champions League spots behind champions Paris Saint-Germain. "I'm interested in what the three points mean for us, not denying Juventus three points".
"We have the chance to do something really important, we certainly can't hide. We could have scored more but we got the win, and that's the main thing".