Grambling came back from a 15-point halftime deficit and tied the game at 65 with 38 seconds left following a three-point play and then two free throws by Richard Freeman.
Mark Gray's 3-point attempt with two second on the clock was off the mark.
MVSU (4-18, 3-6 Southwestern) built a 39-24 halftime lead, despite missing all eight of its 3-point attempts, as it held Grambling to 25 percent shooting from the floor (8 of 32).
Remond Brown led Grambling State (2-17, 0-9) with 16 points and eight boards. Freeman finished with nine points.