The Super Eagles star recently completed his move from Napoli to Galatasaray during the summer transfer window after an impressive season.
He led the Lions to a double last season while on loan and has continued from where he stopped with incredible performances in Europe and the Turkish League.
This season, Osimhen has scored nine goals across all competitions, which has caught the interest of top teams in Europe.
PSG to go head-to-head with Madrid for Osimhen
According to Goal.com, PSG are now prepared to compete with Real Madrid, who have also recently been linked with a significant bid for the prolific striker.
It is understood that PSG's sporting director, Luis Campos, who has kept in contact with Osimhen's camp during his time in Turkey, has now received the green light to pursue a deal more aggressively.
The club is targeting next summer as the ideal time to make a move, with Enrique no longer blocking the transfer.
While PSG reconsiders their options, Real Madrid has reportedly stepped up their own pursuit of Osimhen.
The Spanish club is thought to be preparing an offer of over €100 million as part of a plan to reshape their attack and move Kylian Mbappé back to his preferred position on the left wing.
Madrid's hierarchy reportedly views Osimhen as the "pure striker" their squad currently lacks—a powerful, direct, and instinctive goalscorer who can serve as the team's focal point.
Galatasaray, however, are not expected to part with their star player easily. The Turkish giants are reportedly unwilling to consider any offers during the winter transfer window, as they are determined to keep Osimhen for the remainder of the season.
Nevertheless, there is an acknowledgement in Istanbul that a substantial offer, likely exceeding €100 million, could force their hand.
Having signed the striker from Napoli for €75 million, Galatasaray are poised to make a considerable profit.