The present disclosure describes mechanisms to manage session continuity for edge computing services for edge service consumers. The session management mechanisms include continuity or handing over edge service sessions between edge computing platforms in a same edge compute cluster and between edge computing platforms in different edge compute clusters. The session management mechanisms include edge computing platform switching/handover for user equipment capable of utilizing multiple access network connections and/or multiple access technologies. The described solutions can provide edge service session continuity between connected vehicles and road side units and/or edge compute nodes.