Wiggins' three-point play with 1:21 left put the Vikings (3-0) ahead for good at 87-84. Tiegbe Bamba extended the lead on 1 of 2 free throws with 29 seconds left.
Donivine Stewart scored and drew a foul with 23 seconds left for SIUE (1-3). He missed the free throw, but Keenan Simmons got the offensive rebound and Stewart went back to the line, making 1 of 2 to cut the deficit to one.
Tim Douglas made both free throws for PSU with 8 seconds left and Stewart missed a difficult 3-pointer at the buzzer.
Douglas had 17 points and Braxton Tucker added 13 points and nine rebounds.