PSG coach Thomas Tuchel said his side need to "stay humble" after reaching the Champions League knockout stage.
PSG have quashed reports the club could be forced to sell either Kylian Mbappe or Neymar in a bid to circumvent eventual FFP sanctions.
Juan Bernat and Neymar scored to put PSG in control in the first half in the French capital.
Fitness of Kylian Mbappe and Neymar casts the longest shadow over PSG ahead of Wednesday's Champions League crunch clash against Liverpool.
Cristiano Ronaldo and Lionel Messi have won the Ballon d'Or five-time each while Paul Pogba won the FIFA World Cup 2018 with France.
Neymar is nursing a strained adductor muscle in his groin while Kylian Mbappe is suffering from a shoulder contusion.
A Spanish magistrate leading an investigation into alleged irregularities in Neymar's move to Barcelona in 2013 said the footballer could face up to six years in prison.
Neymar's challenge made quick rounds on the Internet with fans all around the world taking it up and posting videos on their social media account.
Neymar decided to spotlight two notable stars of the superhero world in his new tattoo.
With Neymar to the fore, Brazil exerted late pressure and could have scored in the few minutes before Miranda struck.
Kylian Mbappe scored four goals in the space of 13 second-half minutes as a 5-0 victory saw PSG set a new French top-flight record.
After losing their opening group game to Liverpool, PSG need a victory against Red Star if they are to salvage their group campaign.
PSG critics had suggested the French giants had overspent on strikers and forgotten about the midfield after a 3-2 defeat in the Champions League at Anfield this week.
Despite late drama, victory was well deserved for Liverpool who dominated throughout and bounced back from blowing a 2-0 first-half lead.
Liverpool manager Jurgen Klopp defended Neymar's play-acting at the FIFA World Cup 2018.
Julian Draxler, Edinson Cavani, Angel di Maria and youngster Moussa Diaby all found the net at the Parc des Princes.
Brazil, playing their first international since a disappointing World Cup quarterfinal exit, were in complete control throughout a low-key encounter at the MetLife Stadium.