ALDI – Abergavenny – Opening Hours & Store Details Visit this ALDI branch on Monmouth Road, about 0.44 miles south of the centre of Abergavenny (near to Abergavenny Bus and Train Stations). This supermarket is an added feature to the locales of Mardy, Llanfoist, Abergavenny, Ysbytty Fields and Llanellen. On this page, you can find information about ALDI Abergavenny, including the open hours, street address and phone number.