2014 champions Bready champion will take on Ulster Cup holders North Down in the quarter-finals of the O’Neill’s sponsored competition.
2005 finalists, Ardmore, have a tricky tie against NCU kingpins CIYMS, while CSNI - winners in 2009, face three times champions, Brigade, at Stormont.
The final tie sees Waringstown - beaten finalists in two of the last three years - travelling to Tyrone to face 2005 winners Strabane.
The games will take place on Sunday, June 26th.
In the Ulster Shield, holders Woodvale travel to Downpatrick, while Armagh entertain Templepatrick in the other all NCU tie.
Five times winners Muckamore travel to Glendermott, while also in the north west, Fox Lodge - beaten finalists last season - entertain Bangor.
Matches in the Ulster Shield take place on Sunday, July 3rd.
O’NEILLS ULSTER CUP
North Down v Bready
Ardmore v CIYMS
CSNI v Brigade
Strabane v Waringstown
Ties to be played Sunday June 26
O’NEILLS ULSTER SHIELD
Fox Lodge v Bangor
Downpatrick v Woodvale
Glendermott v Muckamore
Armagh v Templepatrick
Ties to be played Sunday July 3