The Russians had taken a shock lead after 30 minutes, but Dybala scored twice in two minutes late in the second-half.
“I really needed these two goals. It was a good result for me and for the team, as we suffered, but have the necessary experience to keep calm and find a way through," Dybala told Sky Sport Italia.
“We sent the usual signal, which is that this is not a Juventus side without experience or talent.
"We can have our say."