Cardiff Met knocked out FAW Women’s Cup holders Swansea City on Sunday and next they will travel to neighbours Cyncoed.
There are two other all Welsh Premier ties as Cardiff City FC host Rhyl, and Abergavenny visit Llandudno.
Meanwhile, Briton Ferry Llansawel will be home to Caernarfon Town, who withdrew from the WPWL recently.
FAW Women’s Cup Quarter-Final Draw
Cardiff City v Rhyl
Cyncoed v Cardiff Met
Llandudno v Abergavenny
Briton Ferry Llansawel v Caernarfon Town
Ties to be played Sunday 10 February
The last eight of the U-16 Girls’ Cup was also drawn and defending champions Barry Town United will go to AFC Porth.
FAW U16 Girls Cup Quarter-Final Draw
Landore v Penrhyn Bay
AFC Porth v Barry Town United
Briton Ferry Llansawel v North
Villa Dino Christchurch v Caernarfon Town
Ties to be played Sunday 9 December