Methods and apparatuses for a User Equipment (UE) to monitor the Physical Downlink Control Channel (PDCCH) appropriately in order to reduce power consumption and perform Contention Resolution for a Random Access (RA) procedure in a Non-Terrestrial Network (NTN). The UE can perform a Msg3 transmission during a RA procedure in a NTN and start a RA contention resolution timer in the first symbol after the end of the Msg3 transmission plus a timing offset. In response to expiry of the RA contention resolution timer, the UE determines whether to consider Contention Resolution not successful based on at least whether the RA contention resolution timer expires during a time duration of the timing offset after a Msg3 retransmission.