About Doctors On Call Maui Urgent Care Center Put your health first with Doctors on Call Urgent Care, serving Maui since 1987. Get the care you need, when you need it with Doctors on Call Urgent Care. No appointments necessary - simply walk in and receive prompt attention from our team of experienced family medicine and urgent care doctors. Our state-of-the-art facility features an on-site lab, x-ray, and pharmacy, allowing us to diagnose and treat a wide range of illnesses and injuries, including work injuries, sports injuries, and accidents.