It took Dybala less than five minutes to give Juventus the lead with a delightful chipped volley after a long ball over the top from Leonardo Bonucci.
In the 33rd minute Blaise Matuidi forced a save from David Von Ballmoos that Dybala followed up and calmly place in the net.
Jose Mourinho 'immediate sacking' rumours dismissed by Manchester United
Jose Mourinho will not give up without a fight and neither, it seems, will his Manchester United players. It's hard running a football club, managing a football club, playing in a football team.
"I'm happy for him (Dybala), he's on an upwards curve and playing more regularly but the others have also played well, above with maturity and calm against a well-organised team", said Juventus coach Massimiliano Allegri. "He made many goals while he was here, but it's already the past and we can not live in the past".
Moments later, Dybala appeared to be scythed down by his former Palermo teammate Steve von Bergen, but the referee waved play on and there was no VAR to rely on in the Champions League.
Juan Cuadrado was released on the right and his ball into the area was touched in by Dybala who became the fourth Juventus player to score a Champions League hat-trick.
What to know about Trump’s nationwide test alert
A message box popped up on screens, informing: "THIS IS A TEST of the National Wireless Emergency Alert System . The test was originally scheduled for September but was postponed as FEMA responded to Hurricane Florence.
The Argentina global found the net just once in the competition last season as Juventus reached the quarter-finals but has already trebled that tally.
After nine trophy laden years with Real Madrid, Cristiano Ronaldo left the club this year for a move to Juventus and has already scored three goals for the Old Lady.
Indian court allows deportation of 7 Rohingya to Myanmar
The interim plea, seeking urgent measures to stop the proposed deportation of seven Rohingyas, was filed in a pending PIL. The illegal immigrants were detained in 2012 and since then they were lodged in Cachar Central Jail in Assam's Silchar.