An administration or outlet port (10) for a medical fluid container comprises a hollow port body (16) which receives an insert member (30). The insert member (30) has an engagement portion (32) which is defined by a cavity (36) and a sealing portion (34) which is defined by a self-sealing membrane (38) that extends across one end (40) of the cavity (36). The self-sealing membrane (38) includes a penetration zone (41) and respective upstream and downstream faces (44, 46). The upstream face (44) includes at least one recess formation (48, 50) that extends around the penetration zone (41). The administration port may be part of a port assembly, also comprising a medication or inlet port (14).
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