Newspaper reports in Spain suggested the Colombia international and his agent Jorge Mendes met the Real Madrid president in a restaurant to negotiate terms, but the forward insists the claims are false.
"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 to the Ballon d’Or gala."
The 26-year-old refused to comment on where he could move to if he were to leave Atletico, though he did reveal he is looking to learn a number of new languages.
"My goal is to learn more languages. I know a little Portuguese, English is important for life and so I speak that better. Then I would like to learn French or Italian," he added.
Meanwhile, Madrid owner Miguel Angel Gil Marin has told Mundo Deportivo that the striker will not be joining the club and compared the rumours of a move for the striker with those that followed Sergio Aguero before he joined Manchester City.
"Falcao is not going to go to Real Madrid. I will repeat everything I said last year with Sergio Aguero," he told Mundo Deportivo.