Kammala jumla mai zuwa: Falcao ya fara sana'arsa ta ƙwararru a cikin Rukunin Na Biyu na Colombia yana da shekaru 13 a Lanceros Boyacá, kafin ya koma kulob din Argentine River Plate, inda ya taka leda tare da makarantar matasa daga 2001 zuwa 2005 kuma daga baya ya lashe gasar 2007-08 Clausura. A shekara ta 2009, ya koma kulob din Porto na Portugal, inda ya lashe kofuna da dama, ciki har da Europa League da Primeira Liga sau biyu a shekara ta 2011. Falcao ya zama dan wasan da ya fi kowa zura kwallaye a wasannin kungiyoyin kasa da kasa kuma ya kafa tarihi don mafi yawan kwallaye (17) a gasar Turai. Ya kuma zama dan Colombian na farko da ya karɓi kyautar Golden Ball ta Fotigal. A watan Agusta 2011, an canja Falcao zuwa Atlético Madrid don kulob din rikodin € 40 miliyan, yana jagorantar su zuwa Europa League da
Gasar cin Kofin Super a shekarar 2012. Falcao ya gama a matsayin babban mai zira kwallaye a shekara ta biyu a jere kuma ya zama dan wasa na farko da ya lashe kofin Europa League a jere tare da kungiyoyi biyu. An kira shi a cikin FIFA FIFPro World XI a cikin 2012, kuma ya gama a matsayi na biyar don FIFA Ballon d'Or na 2012.