Uruguay striker Cavani almost scored with his first touch after coming off the bench in the second half, but Manchester United were unable to break down Chelsea's well-drilled defence.
Edinson Cavani, 33, is Paris Saint-Germain's all-time top scorer, scoring 200 goals in seven seasons at the Parc des Princes.
The coronavirus crisis has left Paris Saint-Germain apparently weakened both on the field and off it.
Thiago Silva and Edinson Cavani have played a major role in establishing PSG as the unrivalled force in French football.
Players like Manchester City's David Silva, Willian at Chelsea, or PSG's Thiago Silva and Edinson Cavani, will be free to leave on July 1 even if the season has not been completed.
PSG beat Bordeaux 4-3 on Sunday, but their victory was marred by Neymar's late sending-off.
Paris Saint-Germain were the beneficiaries of possibly one of the most comical own goals ever seen in professional football.
Edinson Cavani's header eight minutes from time from Jonathan Rodriguez's cross propelled Uruguay above Chile
Edinson Cavani has scored 17 times in the French league and twice in the Champions League this season.
Palermo has nurtured top players such as Argentine internationals Paulo Dybala and Javier Pastore and Uruguay forward Edinson Cavani.
Coach Unai Emery was fired last summer and left for Arsenal after failing to bring the trophy to Paris.
Julian Draxler, Edinson Cavani, Angel di Maria and youngster Moussa Diaby all found the net at the Parc des Princes.
The Paris Saint-Germain striker was forced out of play after an injury in the round-of-16 match.
Uruguay and France are pitted in possibly one of the closest clashes in the quarter-finals.
The mouth-watering last-eight tie in Nizhny Novgorod is likely to be decided by a battle between Uruguay's stifling backline and the speed of Mbappe.
Cristiano Ronaldo will be nearly 38 by the time the next World Cup comes around in Qatar in 2022.
With time running out for trailing Portugal, Ronaldo could have been justifiably angry, frustrated or simply not focused on an injured opponent.
Pepe's goal was the first time the South Americans' defence had been breached in the tournament.