United were heavily linked with a move for the Spanish international last summer, but Erik ten Hag looked to put the brakes on a possible deal, in favour of signing Lisandro Martinez.
According to reports from the Daily Mirror, United will not be reviving their links with the 26-year-old, and PSG are ready to swoop in.
The Ligue 1 giants are planning a squad rebuild in the coming months, with veteran defender Sergio Ramos set to move on, when his contract expires in June.
The Parisians are also considering a move for Torres’ Spain teammate Aymeric Laporte, who is frustrated by his reduced role at Manchester City, with a combined deal likely to cost around £100-110m.
City value Laporte at around £60m with Torres’ release clause in Castellon set at £52m.