The Colombian had apparently tweeted that he was set to join the European champions, saying it was a "dream come true," but he has since claimed the screenshot was fake.
The Colombian triggered suggestions he was imminetly leaving Stade Louis II when he was left out of Leonardo Jardim's matchday squad for the club's 1-1 draw with Lille on Saturday.
Reports were rife about where the ex-Atletico Madrid man might be departing Ligue 1 for, with Manchester City, Juventus, Arsenal and Real Madrid all named as contenders in the chase for the 28-year-old.
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A picture of a tweet in which Falcao declared that a move to the Santiago Bernabeu was a "dream come true" started to spread through social media Saturday. The tweet had supposedly been posted and then quickly deleted by Falcao.
However, the striker took to social media to declare that the tweet was fake.
"I have to refute a story about a tweet I have not done, that is photoshopped."
Tengo que desmentir una noticia sobre un tweet que no he hecho y que es un foto montaje.— Radamel Falcao (@FALCAO) August 30, 2014