Tursunov lost to Philipp Kohlschreiber, wasting a 5-0 advantage in the tiebreaker before falling 6-4, 7-6 (8). Benjamin Becker defeated Schuettler 6-4, 2-6, 6-4 to make his first quarterfinal of the season.
Haas, a 31-year-old veteran who is working his way back after shoulder surgery, received a wild card into the grass-court event. His experience showed against Tsonga, a Frenchman with a flashy but inconsistent game.
"I played as well as I can, especially on the big points," Haas said. "We both played extremely well. To beat a top 10 player shows that I have to be reckoned with."
Haas, once ranked as high as No. 2, had his best French Open in seven years when he reached the fourth round last week, losing to eventual champion Roger Federer after winning the first two sets.
Lukas Lacko advanced to the second round by beating Harel Levy 7-6 (6), 6-2. Lacko lost to Levy in the final round of qualifying but won a place in the main draw after the withdrawal of top-seeded Federer.
On Tuesday, Federer pulled out the tournament, saying he was "overwhelmed" and "exhausted" after his French Open win.
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