Jordan Swing added 15 points and seven assists, and Rod Rucker had 12 points and 10 rebounds for the Blazers (7-6), who shot 52.7 percent (29 of 55) and made more than half their shots in each half.
The Huskies (5-7) led 15-10 with 13:49 left before halftime, but the Blazers scored the next 12 points and never trailed again.
Purifoy, who began the run with two free throws and a layup, had 11 first-half points, including a 3-pointer at the buzzer to give UAB a 47-34 lead, its largest to that point.
Northeastern never got closer than nine points the rest of the way. Quincy Ford had 14 points and 10 rebounds for the Huskies, and Tuscaloosa native Reggie Spencer added 13 points.