The Colombia international is looking unlikely to kept on beyond his loan spell at Old Trafford from Monaco, with rumours suggesting that the 29-year-old – who has netted just four goals for the Red Devils – has all but accepted his fate.
There is a £43m clause in place for United to keep him, yet Louis van Gaal appears reluctant to commit to such a fee, which has been hinted at by his consistent exclusions from the starting XI and a shock appearance for the club’s U-21 team.
A number of sides – including Juventus – are believed to be looking at Falcao, but River are hopeful they can pull of a stunning deal.
The South American marksman spent eight years with the Buenos Aires outfit before joining Porto in 2009, and made his breakthrough at the club in 2005 as a youngster.
And the club’s vice president Matias Patanian says bringing him back remains a dream.
“We are dreaming of Falcao, the doors are open.” He said.
“It depends on what is sold to bring him in mid-year. If we do not sell we can bring in two players.”