12 Dec, 14:42
Prop Cian Healy is expected to miss the start of the 2014 RBS 6 Nations after undergoing surgery on his injured ankle on Wednesday.
The quarter finals will take place on the weekend of Februray 3rd/4th.
Bookies favourites Mary's were handed an away tie with Garryowen for their efforts in knocking out Con, while Clonaklity, the only non Division One side left in the cup, have been drawn away to Terenure College RFC.
The draw for the AIB Cup Quarter Final in full is:
Belfast Harlequins V Galwegians
Terenure College RFC V Clonakilty
Garryowen V St. Mary's College RFC
UCD V Shannon
The competition brings together both senior and junior clubs from all four provinces that were put forward for participation in the AIB Cups based on their performances in the respective provincial cup and League competitions.