Bolivia hit the post through Ricardo Pedriel with their first real attack, and Mexican stiker Raul Jimenez should have scored after the break with a close range header, but otherwise neither side created much in the way of clear-cut chances.
The Mexicans also had a penalty appeal turned down late on after Javier Aquino went down under pressure from Alejandro Pinedo.
While on balance a draw looked to be a fair result, it was greeted by whistles and boos at the Sausalito stadium in Vina del Mar at the final whistle.