Berriew, who returned to form with a FAW Trophy win on Saturday, face a long away day in round two, after being pulled out of the hat to meet Pwllheli.
The Rhiewsiders are the only local side that will hit the road, with Carno, as well as Spar Division Two high flyers Four Crosses and Llanfair United receiving home ties.
Fixtures involving local sides
Carno v Llandyrnog United
Four Crosses v Brymbo
Llanfair United v Llanrwst United
Pwllheli v Berriew