Ryan Babel put Liverpool ahead on six minutes, but a well worked Panupong Sutee strike on 72 minutes gave Peter Reid's Thailand the draw.
Before a packed crowd of 70,000, Liverpool started brightly and deservedly took the lead early on.
Jamie Carragher was the architect, sliding the ball into the path of Babel, whose early side-footed finish found the bottom corner.
Dirk Kuyt went close with a long-range effort midway through the half, but for all Liverpool's possession they struggled to create clear-cut chances.
Reid's Thailand side had their only real chance of the half late on, when Datsakorn Thonglao's free-kick fizzed over the bar.
But they pulled level midway through the second half when Sutee played a neat one-two, drove into the box and clipped a left-foot finish past Diego Cavalieri.