New United boss Louis van Gaal is set to start work this week after his World Cup campaign finished on Saturday, but the Dutchman has already seen left back Luke Shaw and central midfielder Ander Herrera join the Red Devils as the revolution at Old Trafford begins.
Other targets are being eyed up in the form of Arsenal defender Thomas Vermaelen and Juventus midfielder Arturo Vidal, but another name strongly linked with the club is Real Madrid winger di Maria, who featured for Argentina at the World Cup, scoring the winning goal in the last 16 tie against Switzerland.
Madrid are believed to be open to selling the 26-year-old in a bid to fund a move for Monaco playmaker James Rodriguez, who lit up the World Cup with Colombia - and United are reportedly near the front of the queue to land di Maria. However, so are Ligue 1 moneybags Paris Saint-Germain, who are looking to make di Maria their latest marquee capture, joining the likes of Thiago Silva, Edinson Cavani and Zlatan Ibrahimovic in the French capital.
Reports over the last couple of days have suggested that di Maria would turn down a move to Old Trafford in order to play Champions League football with PSG, and whilst that would be a blow, it could open up an opportunity for United.
In Laurent Blanc's 4-3-3 system, Cavani and Ezequiel Lavezzi play wide of Zlatan Ibrahimovic, and this has left Brazilian youngster Lucas Moura on the sidelines. The 21-year-old missed out on a place at the World Cup because he hadn't played enough football, and the potential arrival of di Maria would only push him further down the pecking order.
PSG beat United to the signing of the former Sao Paulo man in 2012 with a £44m swoop, but with his time at the Parc des Princes far from fruitful so far, PSG could look to cut their losses on him if they land di Maria. United should test the waters with a bid for Moura, who has the blistering pace that the Red Devils desperately need down the right hand side after two underwhelming seasons from the likes of Nani, Antonio Valencia and Ashley Young.
After all, with Financial Fair Play regulations looming over PSG, they may well be open to selling Moura - who still has bags of potential. They may of course look to keep Moura and allow him to develop some more, but with di Maria possibly entering the picture, United's chances of landing him should have improved - if van Gaal is interested.