The Blue Demons (18-14) thought they might get picked for the NCAA tournament after beating Notre Dame for the second time on Saturday.
"It doesn't make sense to me," DePaul Coach Joey Meyer said of the NCAA snub. "I can't explain why Notre Dame was selected over us. Maybe 14 losses had something to do with it, but teams with similar records were selected."
The NIT starts Wednesday night with Marquette (15-13) at Penn State (21-8), Tennessee (15-13) at Memphis State (18-11) and New Orleans (19-10) at James Madison (20-10).
On Thursday night, Massachusetts (17-13) is at Maryland (18-13), Baylor (16-13) at Mississippi State (15-13), Louisiana Tech (20-7) at Vanderbilt (16-14), Wisconsin Green Bay (21-7) at Southern Illinois (26-7), Stanford (18-11) at Hawaii (23-9), Tulsa (17-12) at Oklahoma State (16-13) and Southern (25-5) at Fordham (19-12).
The first round concludes Friday night with Holy Cross (24-5) at Rutgers (16-16), Oregon (15-13) at New Mexico (17-12), Bowling Green (18-10) at Cincinnati (19-13), Kent State (21-7) at St. Louis (17-11) and Cal State Long Beach (22-8) at Arizona State (15-15).