DETROIT — Houston rallied, tying it at 31 on Foster's 1-yard run with 1:55 to play. That touchdown capped a 15-play, 97-yard drive that included a conversion on fourth-and-7.
"Had our opportunities to win it multiple times. Both teams did," Lions quarterback Matthew Stafford said. "It was a great football game. Didn't catch many breaks and couldn't capitalize on a couple we needed to."
Texans kicker Shayne Graham missed from 51 yards in overtime, and Detroit's Jason Hanson hit the right upright from 47. Graham finally connected from 32 to win it.
Detroit extended its losing streak in its annual Thanksgiving showcase to nine.
Hanson's miss came on third down after the Lions had lost 3 yards on a second-down run. The Lions sent the veteran kicker onto the field instead of trying to move the ball a bit closer.
"We didn't want to give up a negative play, and they'd been trying really hard to strip the ball, so we didn't want to risk a turnover," Schwartz said.
The Lions were hoping a three-game homestand would help revive their playoff hopes, but they lost against Green Bay last weekend and couldn't hold on against the Texans.
If the Lions didn't have enough problems, defensive tackle Ndamukong Suh could be in trouble with the league again after his left cleat connected with Houston quarterback Matt Schaub's groin area in the first quarter.
"I really don't have anything to say about that play or that person," Schaub said.
Suh was on his chest, taken down by an offensive lineman, when he extended his left foot below Schaub's belt.
It wasn't clear on replays whether the kick was intentional. Suh didn't stick around talk to reporters after the game.