The 27-year-old forward has not played since suffering cruciate ligament damage in January but remains in Jose Pekerman's plans for Brazil — for now.
The Monaco star suffered cruciate ligament damage during a Coupe de France match in January and it has been rumored that the 27-year-old has admitted defeat in his bid to be fit to represent his country in Brazil this summer.
But Colombia issued a press release Monday revealing that Falcao, who took part in squad training with his club at the end of the campaign, is still trying to prove his fitness to coach Jose Pekerman.
SPORTING NEWS: Projected USA starters | Mexico XI
"Radamel Falcao Garcia will join his teammates in Buenos Aires," the statement read. "The Colombian striker is currently continuing his physical work with his club side Monaco."
Pekerman must trim his 29-player provisional squad to 23 before June 2 and it has been reported that if Falcao misses out, the forward will join Colombia's coaching staff.