A method performed by a core network node for handling a data service session in a packet communication network is provided. The packet communication network is configured to support fixed access between a User Equipment (UE) and an access network node. The core network node obtains a decision whether a monitored bandwidth over the fixed access is below a bandwidth requirement authorized to the UE. The bandwidth over the fixed access is monitored for a data service session between the UE and the Data Network via the fixed access. The core network node obtains a decision of how to handle the data service session based on the decision whether the monitored bandwidth over the fixed access is below the bandwidth requirement.