The Daily Express carries speculation from Spain that suggests Monaco may be willing to let Falcao leave the club on loan this summer with a view to a permanent move next season. Chelsea, United and City have all been mentioned as possible suitors in the past.
The Colombian international is reportedly unhappy following the sale of James Rodriguez to Real Madrid, a club he has been heavily linked with joining as well.
A cruciate ligament injury ruled him out of the World Cup, but Falcao is stepping up his recovery ahead of the new Ligue 1 season. Monaco, who had hoped to challenge PSG for the title, have taken a step back with the £63m sale of Rodriguez, and Falcao could follow him out the door.
But when asked about transfer rumours earlier this month, Falcao said: "I'm a Monaco player. Right now I'm just focussed on fully recovering from my knee injury."
Keen to move?
But behind the scenes it's reported that Falcao is agitating for a move away from the Stade Louis II. Many questioned his decision to leave Atletico Madrid for Monaco last summer, with speculation suggesting he moved simply for the money.
At the time it seemed as though he had the pick of just about every top club in Europe, with Chelsea in particular heavily linked with the forward. They have now moved for Falcao's replacement at the Vicente Calderon, Diego Costa, who joined the Stamford Bridge club for £32m.
But if he were to become available again, especially if the transfer fee was to be deferred until next year, it would surely spark another scramble for his signature.
Each of City, United and Chelsea could match his £45m asking price - the fee Monaco will look to secure as the price of taking up the permanent option. For the 12-month loan, Monaco are looking for £9.5m of the asking price up front.
Real Madrid have reportedly opened negotiations with Monaco over a possible deal, with the Spanish giants keen for the loan move as it would allow the club to gauge Falcao's fitness following the knee injury before committing long-term to the 28-year-old.