Methods and apparatuses are provided for managing packet data network (PDN) connectivity for a device. PDN connectivity to a local gateway can be managed at an access point with which the device is communicating based at least in part on received PDN connectivity parameters. The PDN connectivity parameters can include access points, related closed subscriber groups, public land mobile networks, etc., from which a device can request a PDN connection. The PDN connectivity parameters can be specific for the device and/or for one or more access point names. In addition, a subscription server or other core network device can communicate the PDN connectivity parameters to the device and/or the device can receive PDN connectivity parameters as a result of a failed PDN connection attempt to an access point.