Embodiments of the present disclosure relate to methods, terminal devices, network nodes and apparatus for random access process in a wireless network. The method at the terminal device may comprise: receiving additional information related to a terminal device together with a random access preamble. With embodiments of the present disclosure, the additional information related to a terminal device can be transmitted to the network node together with a random access preamble; in such a case, further useful information is available for the eNB, which might substantially facilitate the random access process for either initial access or non-initial access.