Davis' 28 points and eight rebounds saw the Pelicans to a resounding 120-86 victory over the Oklahoma City Thunder at the Smoothie King Center.
The Pelicans never trailed against a weakened Thunder outfit, who got 20 points and seven rebounds from Jeremy Lamb.
Injured Thunder trio Kevin Durant, Kendrick Perkins and Serge Ibaka missed the clash, while Russell Westbrook and Reggie Jackson were rested.
The Bulls staged a stunning comeback to edge the Atlanta Hawks 85-84 at the United Center.
Jimmy Butler hit a three-pointer on the buzzer as the Bulls came from 20 points down with 11 minutes remaining.
Butler had a game-high 29 points, while Joakim Noah pulled down 13 rebounds to go with his seven points.
The Golden State Warriors continued their unbeaten pre-season with a 104-101 victory over the Denver Nuggets.
Kobe Bryant produced 27 points for the Los Angeles Lakers, but they were beaten 119-86 by the Utah Jazz.
Jared Sullinger (21 points) and Avery Bradley (20) helped the Boston Celtics past the Philadelphia 76ers 111-91 and the Phoenix Suns crushed the San Antonio Spurs 121-90.