Texas-El Paso snapped a three-game losing streak with the win and improved to 7-5 on their home floor.
UTEP built a 30-18 lead in the first half, but FIU scored 50 points over the final 20 minutes. The Miners upped their offensive game in the second half as well.
Hassan Hussein scored at the basket with 6:00 left to tie the game at 53-53, but Osborne answered with two free throws to start a 10-0 run.
Osborne was 7 of 10 from the free throw line and grabbed seven rebounds for UTEP (7-11, 2-4). Evan Gilyard was 9 of 10 from the line and finished with 14 points.
Hussein and Michael Douglas each scored 19 points for Florida International (8-10, 2-3).
Copyright 2018 The Associated Press. All rights reserved. This material may not be published, broadcast, rewritten or redistributed.