The Colombians came into this game in good form having won their last four matches and were up against a Kuwait side having lost their last three games.
The visitors opened the scoring thanks to Toulouse midfielder Abel Aguilar in the 22nd minute.
In the 46th minute Kuwait were on level terms when Musaed Al Enazi scored.
Edwin Andres put Colombia ahead midway through the second half to make the score 2-1.
The third and final goal came in the 74th minute when Manchester United forward Radamel Falcao scored to put the game beyond doubt.