Irrepressible forward Cristiano Ronaldo scored an injury-time penalty to send Real Madrid into the Champions League semi-finals - after Juventus had flirted with one of the greatest comebacks in the tournament's history.
Real Madrid won the first leg 3-0 away, but were behind by that same margin at the Bernabeu.
Visiting goalkeeper Gianluigi Buffon received his first Champions League red card, in this, his 117th and final match in the competition, for dissent in the ensuing melee.
Incensed by the decision, Chiellini referred to last season's controversial quarter-final between Madrid and Bayern, who lost 4-2 at the Bernabeu and 6-3 on aggregate after Ronaldo's extra-time victor came from an offside position, while Arturo Vidal was sent off.
"I really don't understand why they were protesting, but football is like that", he said.
"Lucas was pushed from behind and if the penalty was given, it's a goal".
Real Madrid now joins the likes of AS Roma from Italy, Bayern Munich from Germany, and Liverpool from England to battle for a place in the final which will be played in Kyiv.
Real Madrid boss Zinedine Zidane also had little sympathy for the Italians.
"We could have scored more goals, but Juventus and Buffon were really good".
'We should face and we did everything possible to go through, ' he said. "We deserved to go through to the semis, which is what interests me most".
Juventus was attacking relentlessly and the tie was heading towards extra time when the entire flow of the game changed and the Bernabeu side was given a penalty upon Mehdi Benatia's challenge on Lucas Vázquez.
Juventus took advantage of Madrid's depleted defense, which was without suspended captain Sergio Ramos and had 21-year-old Jesus Vallejo playing alongside Raphael Varane.
"You could tell at the time it wasn't a penalty, but seeing the footage back it's just laughable".
"The pulse increased, but I calmed down, and I knew I'd be decisive". "We had the chances to score, not so much in the second half, but we still have players capable of changing a game".
Gianluigi Buffon, Juventus goalkeeper: "To award such a doubtful, or super doubtful penalty, just ahead of the final whistle and destroy the work of a team who gave absolutely everything, you have to have a trash bin instead of your heart".