With the victory, Delaware advances to the NIT Tip-Off semifinals, which will be held at Madison Square Garden in New York City next week.
Saddler's two free throws with 14.6 seconds left in the game pushed the Blue Hens' lead to five and all but sealed the game.
Jarvis Threatt added 14 points for Delaware (2-1). Jamelle Higgins had 10 points.
Virginia (1-2) was led by Joe Harris' 17 points.
Delaware shot just 43 percent (20 of 47) from the field, but held Virginia to 35 percent (20 of 57), including just 19 percent (4 of 21) from 3-point range.
Delaware started the second half strong. Threatt scored five points during an 8-2 run that put the Blue Hens up 35-17, their largest lead of the game.
This material may not be published, broadcast, rewritten, or redistributed.