The Daily Mail says Chelsea are closing in on a £26.5million deal for Falcao after he accepted a £5million a year contract in principle.
Falcao, who scored 17 goals in the Europa League alone last season, said: "I am leaving things up to my agent. I am very calm about the situation but I know there has been some movement.
"My ambition is to keep working hard and I am convinced I can play in a superior league like England. If Chelsea is interested in me then all that needs to happen is for negotiations to take place."