Holders Cardiff Met, 6-1 winners yesterday at home to Caernarfon in Round 1, will travel east to face Caldicot Town. Round 1's other winners, Cardiff City, have also been handed an away trip to Gwent, where they will play Abergavenny.
In the other two Quarter-Final ties, Port Talbot Town will host Rhyl, and Cyncoed will travel to Swansea City.
Port Talbot Town v Rhyl
Caldicot Town v Cardiff Met
Swansea City v Cyncoed
Abergavenny v Cardiff City
All ties to be played on Sunday 3rd December