I am amazed at the number of people that bunt w/ a bat parallel to the ground. We were taught you hold the bat at about a 45 degree angle from parallel to the ground. There is no way that you will ever pop the ball up if its done like that. With the bat parallel its either going to be popped up or go straight down unless the ball hits the bat perfectly.
I went to a baseball camp and we spent almost a half day on nothing but bunting w/ this guy instructing. He was the initial inventor of the baseball tee.
Joe Tanner