Zach Randolph returned from a one-game injury absence to post 13 points and 19 rebounds for the Grizzlies, who blew a late 14-point lead but then regrouped for the extra-time victory.
Rudy Gay chipped in with 16 points and eight rebounds as Memphis put the brakes on a three-game losing streak.
Jimmy Butler subbed for an injured Luol Deng and paced the Bulls with a career-high 18 points.
Carlos Boozer contributed 17 points and 14 rebounds for Chicago, which shot just 36.5 percent from the field in losing for the first time in four games.
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