Costa Coffee – Hampshire, Romsey Road – Opening Hours & Store Details You may visit Costa Coffee Costa Store on Romsey Road, approximately a 0.96 mile drive west from the centre of Hampshire (close to Royal Hampshire County Hosp Bus Stop). The store is an added feature to the areas of Wharf Hill, Teg Down, Abbotts Barton, Sleepers’ Hill, The Soke, Winchester, The Close and West Hill. Today (Friday), hours of operation start at 7:00 am and continue until 6:00 pm. Please note the various sections on this page for specifics on Costa Coffee Hampshire, Romsey Road, including the business hours, navigation, customer reviews and more information.