Falcao has declared that Monaco's ambition helped persuade him to join Claudio Ranieri's side, with the challenge now to gel a team of players for a return to the French top flight.
He told beIN Sport: "I'm really happy about the welcome I've received from the people of Monaco and from the whole of France in general. Now I'm slowly starting to get used to the French football culture and life over here.
"I'm proud to wear the Monaco shirt and to represent this town, it's a big challenge at an important time. I've decided to come here at the peak of my career because I believe Monaco are trying to position themselves at the top of the European game. That's why I chose Monaco ahead of other clubs.
"When you add players like Ricardo Carvalho, Jeremy Toulalan and Eric Abidal, then it's obvious we have a strong squad. The club have bought well with a good balance between defence and attack. But now we have to try to gel as a team and that's the hardest part."
Ranieri's side get their league campaign underway tomorrow night with a trip to 2012 champions Montpellier.