Fitzgibbon Cup holders Mary I have been drawn in a group with GMIT, DIT and IT Carlow.
In the Fitzgibbon Cup, there are four groups, with the top two in each qualifying for the quarter-finals.
In the Sigerson Cup, holders UCD will face either GMIT or IT Sligo in the first round.
Last year's runners-up DCU face a tricky first-round away trip to Queen's University.
NUI Galway v Trinity; Garda College v Cork IT; GMIT v IT Sligo
Maynooth v UL; Dublin IT v Athlone IT; UU Jordanstown v Garda or Cork IT; UCD vs GMIT or IT Sligo; DCU DE v Queens; St Mary's v NUIG or TCD; IT Tralee v IT Carlow; UCC vs DCU St Pat's
IT Carlow, Mary I, GMIT, DIT
UL, NUIG, DCU St Patrick's, Cork IT
DCU Dochas Eireann, LIT, Trinity, WIT
UCD, UCC, University Ulster