The 27-year-old rejected the reports out of hand, though, telling L'Equipe: "It's a totally false article. I'm very happy at Monaco and I believe in the project.
"Everything is false, even the numbers quoted by the press are false. I feel great at the club and I'm going to stay here."
"Falcao is staying at Monaco."
For the big stories and the banter follow us on Twitter: @tribalfootball