Falcao wuxuu xirfaddiisa xirfadeed ka bilaabay Horyaalka Labaad ee Colombia isagoo 13 jir ah oo ka tirsan kooxda Lanceros Boyacá, ka hor inta uusan u dhaqaaqin kooxda reer Argentina ee River Plate, halkaas oo uu kula soo ciyaaray akadeemiyadooda dhalinyarada 2001 ilaa 2005 ka dibna uu ku guuleystay tartanka 2007-08 Clausura. Sanadkii 2009, wuxuu ku biiray kooxda reer Portugal ee Porto, halkaas oo uu ku guuleystay koobab dhowr ah, oo ay ku jiraan Europa League iyo Primeira Liga double sanadkii 2011. Falcao wuxuu noqday gool dhaliyaha ugu sarreeya abid ee tartamada caalamiga ah ee naadiga wuxuuna dhigay rikoorka goolalka ugu badan (17) ee xilli ciyaareed Yurub ah. Waxa kale oo uu noqday qofkii ugu horreeyay ee reer Colombia ah ee qaata abaalmarinta Portuguese Golden Ball. Bishii Agoosto 2011, Falcao waxaa loo wareejiyay Atlético Madrid oo leh rikoodhka kooxda € 40 milyan, iyaga oo u horseeday Europa League iyo Super Cup
guulaha sanadka 2012. Falcao wuxuu ku dhamaaday inuu yahay gool dhaliyaha ugu sareeya sanadka labaad oo isku xigta wuxuuna noqday ciyaaryahankii ugu horreeyay ee ku guuleysta horyaalka Europa League laba kooxood oo isku xigta. Waxaa lagu magacaabay FIFA FIFPro World XI sanadkii 2012, wuxuuna ku dhamaaday kaalinta shanaad ee 2012 FIFA Ballon d'Or.