The newly crowned Ligue 2 champions are willing to meet the Colombia international's €60 million [£50.7m] buyout clause, as well as offer the in-demand forward a net salary of €10m [£8.4m] per season.
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|7/1||Radamel Falcao is 7/1 with William Hill to score as Atletico Madrid win Copa del Rey
"I will tell you what I have heard, and that is that Falcao is 90% coming to Monaco," the Croatia international told Sportske Novosti.
"For sure, it is what they have told us, with only a small possibility that Monaco could only lose him if Real Madrid were to come in, but that is now unlikely.
"If he does not leave for the Bernabeu, he will come to Monaco."
Falcao, 27, has scored 69 goals in 87 games in all competitions since arriving at the Vicente Calderon from Porto two years ago.