Greenville Medical Center UPMC is a medical center located in Greenville, Pa. Visit our website to learn more about the conditions we treat and the services we offer. Schedule your appointment today. UPMC is committed to protecting our communities from the spread of COVID-19. We continue to require people who come to any UPMC facility to wear a facemask that covers their nose and mouth and to practice other preventative efforts like social distancing, even if fully vaccinated.