Dybala outshone Argentina team-mate Lionel Messi and the Spanish champions’ other stars by netting a sublime first-half brace.
Giorgio Chiellini headed in a third 10 minutes into the second half to leave Luis Enrique’s side again staring down the barrel of a Champions League exit, a month on from historically overturning a 4-0 first-leg deficit against PSG.
Dybala is now among football’s elite
“I am very happy - very happy because as a child I wanted to live these moments and today I managed it,” Dybala told Mediaset Premium.
“We certainly cannot rest on our laurels. We know that we need a positive result in the second leg and need to keep a clean sheet, because it’s tough out there, tough – we all saw it [against PSG].
“But we are a great team and can work together to do it.”
Miralem Pjanic impressed in midfield for Juventus and supplied the corner for Chiellini’s goal.
The Bosnia-Herzegovina international echoed Dybala’s calls for caution when he spoke to BT Sport after the match.
“It was a great game from both teams. Of course we are happy we scored three goals and 3-0 is a good score for us,” he said.
“But it is not finished. We know what they did against Paris and we don’t have to [suffer] that.
“We have to be careful because every time it is difficult in Barcelona. They have great players. We know what they can do.
“We will aim to score again and have to do a good job there.”
