The Bulls trailed by five entering the fourth, but surged down the stretch as Vucevic delivered three key layups. The first two tied the game and the third gave Chicago a one-point lead. DeMar DeRozan put the Bulls ahead to stay on a layup that made it 101-99 with 3:46 remaining.
Zach LaVine had 23 points and DeRozan scored 20 for the Bulls, who have split four games to start the season.
The Pacers, who had opened with a pair of victories, were their own worst enemy in settling for long-range shots. They made 12 of 46 3-pointers (26.1%).
Myles Turner led the Pacers with 20 points. Tyrese Haliburton had 19 points and 13 assists, and Bennedict Mathurin and Bruce Brown each scored 15 points.
Haliburton's driving layup in the final seconds gave Indiana a 55-53 lead at halftime.
Two nights after scoring a career-high 51 points at Detroit, LaVine struggled early. The All-Star made two of seven shots but hit five free throws for 10 points in the first half. DeRozan missed six of seven shots in a four-point half.
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