Last season finalists CIYMS and Instonians have been drawn away to Section 1 Clubs Downpatrick and Holywood repectively
Derriaghy who had a close win against Lisburn at Queensway in the first round will again be at home to Waringstown who have won the cup 25 times but last won it 2013.
But the tie of the round will be between Premier Clubs CSNI who will host North Down at Stormont.
The matches are scheduled to be played on Saturday 9 June with a reserve date of Sunday 17 June.
CSNI v North Down
Derriaghy v Waringstown
Downpatrick v CIYMS
Holywood v Instonians