The present disclosure relates generally to the field of wireless communications, and particularly to a technique for performing the beam failure recovery (BFR) of transmission reception points (TRPs) in a multiple-TRP (mTRP) scenario. More specifically, the technique involves defining rules according to which a UE may determine that the TRPs have failed concurrently or the TRPs are considered to fail individually in the mTRP scenario. Such rules are defined based on current counter values of beam failure instance (BFI) counters used by the UE for each of the TRPs. In some embodiments, the rules may be additionally defined based on current timer statuses of timers supervising the BFI counters. By using the rules thus defined, it is possible for the UE to clearly determine when it is required to use the BFR mechanism individually for at least one of the TRPs or concurrently for all the TRPs in one or more cells.