A flexible container (1) for storing a liquid medicament (3) comprises two walls (11, 11a, 11b) consisting of a flexible, sheet-like material, and a port (2) mounted to the wall (11) for transferring liquid (3) to and from an inner storage volume (12) of the container (1). The at least one port (2) has a flange (21) that is sealingly attached to a wall (11, 11 a, 11 b), and an inner conduit (26) connecting the inner storage volume (12) and the exterior of the container. The port (2) comprises a base plate (22) facing toward the inner storage volume (12), and having at least one drain channel (221) arranged on said base plate (22). The at least one drain channel (221) is connected to the inner conduit (26) via an inner opening (231) located on the base plate (22).