Location: Westport 419 Westport Rd., Kansas City, MO 64111- Get Directions 816-931-4740 Visit Website Need a Ride? KCRW menus will be uploaded soon. Check back soon for full menus. Hours: Open 4pm-1:30am Mon.-Fri.,10:30am-1:30am Sat., 10:30am-midnight Sun. Having combined a Westport look and feel with a classic French menu, Westport Cafe & Bar is finally charming Midtown with another restaurateuring masterpiece. Download the app!