Both teams played an open game in the Caribbean heat but neither created many goalmouth chances, particularly in a stunted first hour.
The game came alive in the last half hour as both teams pushed for a winner.
Colombia held Brazil to a 0-0 draw in an engrossing game on Sunday evening
However, both goalkeepers made excellent saves from long-range efforts to keep the game scoreless.
The result leaves Brazil at the top of the 10-team group on 28 points, nine ahead of Argentina, who play Uruguay later on Sunday. Colombia are fifth on 15 points.
The top four teams qualify automatically for Qatar and the fifth-placed side goes into an inter-regional playoff.
Neymar was involved in a war of words with Colombia’s Yerry Mina during the game