This document discloses a solution for providing a terminal device with a multi-connectivity service. According to an aspect, a method comprises: determining, autonomously by a terminal device of a wireless communication system, to request for establishment of parallel connections with multiple access nodes; transmitting, by the terminal device, at least one access request to a plurality of access nodes; and receiving, by the terminal device at least one response to the at least one access request from at least one radio access node, wherein the response contains information related to establishment of the parallel connections.