There are many biggest international supermarket chains in the USA that store open till midnight, So the list of some biggest international supermarket names and their closing times: 1) Walmart Inc. - Closing time 9:00 Pm. 2) H-E-B. - Closing time 9:00 Pm. 3) Hy-Vee - Closing time 9:00 Pm. 4) Meijer Inc. - Closing time 9:00 Pm. 5) Trader Joe's. - Closing time 9:00 Pm.