Tralee's reward for knocking out Wanderers in the first round is a trip to West Cork to face Skibbereen.
Clogher Valley have been drawn at home again with Kilfeacle making the trip north. Enniscorthy and Coolmine will play an all-Leinster tie, while Dundalk will travel to Portadown.
ULSTER BANK ALL-IRELAND JUNIOR SECOND ROUND:
Skibbereen v Tralee
Clogher Valley v Kilfeacle
Enniscorthy v Coolmine
Portadown v Dundalk