An anti-reflux drainage device includes an elongated member defining a lumen, and a valve disposed along the elongated member. The valve can include one or more lumens in fluid connection with the lumen of the elongated member, a socket, a shaft disposed in the socket, and a stopper connected to the shaft that occludes the second lumen when exposed to retrograde pressure. Another such device includes an elongated member and a ball valve. The ball valve can include a seat and a shoulder defined by the elongated member, and a ball disposed in the elongated member between the seat and shoulder that occludes lumen when exposed to retrograde pressure.