Just before the break, Bolivia had a good chance to take the lead as Jhasmani Campos beat his marker with a swift turn and curled an effort towards the bottom corner, but Corona turned the ball behind for a corner.
From the resulting cross, Corona came for the ball and missed it, but Alejandro Morales could only put his header into the side-netting.
In the second half, Mexico should have gone ahead as a cross from the right came in from Corona for the unmarked Vuoso in the box, but he could only guide his header agonisingly wide of the post.
Medina had another opportunity for Miguel Herrera's men as he collected the ball inside the penalty are following a well-worked move, but he could not hit the target from 10 yards out.
Both teams pushed for a winner in the dying seconds, but neither could force a breakthrough as they were forced to settle for a point apiece.