Pedzisa mutsara unotevera: Falcao akatanga basa rake rehunyanzvi muColombia Second Division aine makore gumi nematatu kuLanceros Boyacá, asati aenda kukirabhu yeArgentina River Plate, kwaakatamba nevadiki vavo kubva muna 2001 kusvika 2005 uye akazokunda 2007-08 Clausura mutambo. Muna 2009, akabatana nekirabhu yePortugal Porto, kwaakakunda mikombe yakati wandei, kusanganisira Europa League nePrimeira Liga kaviri muna 2011. Falcao akazova muchengeti wavo wepamusoro-soro mumakwikwi epasi rose emakwikwi uye akaisa rekodhi yezvinangwa zvakawanda (17) mumushandirapamwe weEuropean. Akavawo wokutanga Colombian kugamuchira Portuguese Golden Ball mubayiro. Muna Nyamavhuvhu 2011, Falcao akaendeswa kuAtlético Madrid kune rekodhi kirabhu € 40 mamirioni, achivatungamira kuEuropa League uye
Kukunda muSuper Cup muna 2012. Falcao akapedza semutambi wepamusoro wezvibodzwa kwegore rechipiri rakateedzana uye akazova mutambi wekutanga kuhwina mazita akateedzana eEuropa League nezvikwata zviviri. Akatumidzwa zita muFIFA FIFPro World XI muna 2012, uye akapedza ari pachinzvimbo chechishanu che2012 FIFA Ballon d'Or.