Reports have suggested that Falcao had fallen out with Monaco coach Claudio Ranieri, something the former Chelsea boss has rejected.
Falcao has recently been strongly linked with a move to Chelsea.
But Monaco vice-president Vadim Vasilyev insists the striker is happy at the club.
“He is very happy here, he feels very good in Monaco,” said Vasilyev. “He loves this club.”
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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.