Falcao has just enjoyed another successful campaign at Stade Louis II, with 21 goals being netted in 31 appearances in Ligue 1 and the Champions League.
However, the Colombian's form has resulted in interest from Milan, and the striker has suggested that he is open to a potential switch to San Siro.
The 32-year-old told Mediaset Premium: "I read and heard of Milan interest, so it is an honour that a club like that is tracking me.
"I follow Italian football and know that Milan are the second club in the world in terms of Champions League titles, but at the moment I am under contract with Monaco and am focused only on Monaco and Colombia. Having said that, clearly I like Italy and Italian football."
Falcao still has two years remaining on his contract with Monaco.