Each team on three days' rest, Houston and Chicago ground out a sweaty 0-0 draw in front of 22,000 in BBVA Compass Stadium.
The clubs remain fourth (Houston - 28 points) and fifth (Chicago - 24 points) in the Eastern Conference. Chicago's three-match winning run comes to an end.
Corey Ashe picked up the game's only caution five minutes before halftime.
The teams combined for three shots on target.
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