The holders exited the tournament after losing 4-1 to Ajax at the Bernabeu and Perez was furious with the team’s display afterwards, going into the dressing room and saying they had shamed the club.
Real’s board know they did not adequately replace Cristiano Ronaldo and, according to Spanish newspaper Sport, are willing to smash the transfer record to land Neymar and finally fill the void.
The injured Brazilian suffered his own Champions League misery in midweek, watching from the sidelines as PSG became the first team to throw away a 2-0 first leg away lead against Manchester United.
His £198m move to Paris two years ago made him the most expensive player in history, but Real are prepared to pay even more as well as offering him a £45m-a-year salary that would eclipse the deals earned by Lionel Messi and Cristiano Ronaldo.
Although PSG do not want to lose Neymar, there is a feeling at Real that such a vast sum of money could see them cash in and get rid of their Financial Fair Play worries once and for all.
Neymar’s unhappiness at PSG is also a factor, with the 27-year-old falling out with teammates in his first season – notably Edinson Cavani – and growing frustrated with the lack of quality and protection he receives In Ligue 1.
The former Barcelona star is believed to have no reservations about moving to the Bernabeu despite his ties to the Catalan club.
Neymar started the season in astonishing form, scoring 13 Ligue 1 goals in as many games, as well as laying on six assists, and netted five times in the Champions League before injuring his metatarsal.