Example embodiments presented herein are directed towards a wireless device and core network node, as well as corresponding methods therein, for managing a data flow between a network access type 1 and a network access type 2. According to some examples, access type 1 may be a 3GPP access and access type 2 may be a non-3GPP access. The wireless device is connectable to both the networks of access types 1 and 2.