St. Vincent Charity Medical Center Urgent Care 33001 Solon Rd, Solon, OH44139 St. Vincent Charity Medical Center's Solon Campus offers an Urgent Care department open seven days a week for walk-in…More urgent care services. The department switched from a 24 hour emergency room to the urgent care model in 2012. It offers fast, affordable high quality care for illness and injuries for patients of all ages. The urgent care department operates from 8am to 8pm on weekdays, and from 9am to 5:30pm on weekends. Outside of these times and for critical medical emergencies, individuals should go to the nearest ER.