The striker has been heavily linked with a move to the Champions League winners, but is focused on his current club for now
The Colombia international already caught the attention of the Santiago Bernabeu side in 2013, but a transfer eventually never materialised as he opted to leave Atletico Madrid for Monaco instead.
Madrid have kept a close eye on his situation at the Ligue 1 outfit ever since, though, and are now reportedly ready to make another move for the prolific striker.
Nevertheless, Falcao is not thinking about a transfer just yet and is ready to give his all for Monaco having recovered from a serious knee injury that kept him out of the World Cup.
"I am not aware of any Real Madrid interest. I am not thinking about any other club than Monaco at the moment," Falcao was quoted as saying by AS.
"I have to continue to work hard for Monaco and play when and wherever the coach needs me."
The 28-year-old has a contract with Monaco until the summer of 2018.