FedEx Priority Overnight® Delivery Time. Next-business-day delivery by 10:30 a.m. to most U.S. addresses; by noon, 4:30 p.m. or 5 p.m. to some rural or remote areas; by noon, 1:30 p.m. or 4:30 p.m. on Saturdays. Service Days. Monday–Friday, with Saturday pickup and delivery also available for an additional charge.