A flexible container (1) for storing a liquid medicament (3), with a wall (10) consisting of two sheets (101, 102) of flexible material that are sealed together (13), comprises a storage volume (11), intended to contain the liquid medicament (3), and an access opening (12) in fluid connection with the storage volume (11), intended to be fluidly connected to an infusion pump device (2). A fluid channel (122) is arranged between the storage volume (11) and the access opening (12), the fluid channel (122) being formed by a cavity (124) on one or both of the two sheets (101, 102). Preferably the cavity (124) is located between an oblong corrugation or groove (127) in one of the sheets (101, 102) of the wall (10) and the opposite sheet (102, 101). A connection element (5) for use with such a flexible container (1) comprises two clamp parts (51, 52) adapted to positively and/or non-positively locking the flexible container (1), and fluidly connecting the access opening (12) of the container to a conduit system (53) of the connection element (5). The clamp parts (51, 52) may comprise sealing elements (54, 54) adapted to fluidly connecting the conduit system (53) with an access opening (12) of the flexible container (1).
