Recent reports have claimed that the Colombian striker had dinner with Real president Florentino Perez, while others have suggested that he travelled to the recent Ballon d'Or event with Real's star player Cristiano Ronaldo.
However, the 26-year-old has insisted that neither of those rumours is true.
"Everything is a lie. Lately there has been all kinds of reports about me," he told Antena 3. "All those that say I ate with Florentino are false. Neither is it true that I travelled with Cristiano Ronaldo the Ballon d'Or gala."
Falcao has also been linked with Chelsea and Manchester City over the last few weeks.