Embodiments herein relate to a method performed by a radio network node (12) for handling communication of data to a wireless device (10) in a wireless communication network (1). The radio network node triggers a paging procedure of the wireless device from a core network node (13) in the wireless communication network (1) by transmitting, to the core network node (13), an initiating indication indicating an initiation of paging from the core network node (13) when a criterion is fulfilled.