With a 4-3 aggregate victory on Wednesday, Juventus, the Serie A champions and finalists in two of the last three seasons, advanced to the quarter-finals for the third time in the last four seasons, reports Xinhua news agency.
At the other end of the pitch, Juventus were denied a penalty after Douglas Costa was tripped in the 14th minute.
Juventus head coach Massimiliano Allegri called Kwadwo Asamoah and Stephan Lichtsteiner off the bench an hour into the match, replacing Morocco defender Medhi Benatia and French midfielder Blaise Matuidi and the substitutions generated immediate fruits.
Four minutes later, Higuain netted an equaliser, putting past Hugo Lloris with a right-footed chip after Sami Khedira turned in a header towards the former off a cross from Lichtsteiner on the right flank.
In only three minutes, Dybala slotted home a winner in the one-on-one with Lloris, benefited from the through ball from Higuain. Dybala shot the ball into the right corner, giving Lloris no chance.
The deficit forced Tottenham to be more aggressive but Harry Kane's extra-time header was denied by the left post before being cleared away almost from the line by Andrea Barzagli, who moved to the centre after the inclusion of Swiss right-back Lichtsteiner.
Veteran central defenders Barzagli and Giorgio Chiellini put up a masterclass as Juventus mounted a great defence even though Tottenham created many chances.
With this comeback victory, Juventus advanced to the quarter-finals and avoid a fifth elimination against English clubs in the Champions League in the last five encounters.
"It's a famous win. Well done to the players for what they've done this evening, also for what they've done this season and over the years, along with the club. I'm really proud to coach them - they deserve all the credit," Allegri was quoted as saying by Juventus' website.
"We did very well to bide our time and strike at the right moment. We were under the cosh at times in the first half, but only at certain moments."
Talking about his substitutions, the coach said: "In the second half we needed more technical ability in the middle of the park and since Khedira was growing into the game I took Matuidi off, even though he won the ball back several times in the first half.
"We gradually improved the quality of our play and bringing on Asamoah, a great competitor, and Stephan supplemented what we were trying to do. Lichtsteiner and Khedira played key roles in the equaliser."
"I'm proud because our performance was good in both games and I think we deserved more than Juventus but we have to accept that the better team doesn't always win."
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)