Most shops in Ireland? are open for business from 9 A.M. to 6 P.M. during the week and remain closed on Sunday. But increasingly some shops have been operating on Sunday too. Thursday is the day you can shop without worrying too much about the time because most shops remain open till 9 P.M. If you urgently need something in the middle of the night, just head to the nearest convenience store. These places are known to stay open 24 hours a day, seven days a week.