Rubuta ci gaba don wannan sakin layi - Falcao ya fara sana'arsa a cikin rukunin rukuni na biyu na Colombia yana da shekaru 13 a Lanceros Boyacá, kafin ya koma kungiyar River Plate ta Argentina, 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 canza Falcao zuwa Atlético Madrid don rikodin kulob din na Euro miliyan 40, wanda ya kai su zuwa gasar Europa da Super Cup
nasara a shekara ta 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.