Systems, methods, and tangibly-implemented software instructions for supporting a teleoperated surgical system (TSS). A surgical input that includes monitored events of the TSS, is received. A current stage of the surgical procedure is autonomously determined based on the surgical input. A call for surgeon assistance may be detected, in response to which context-relevant assistance may be provided to a surgeon console of the TSS, the context-relevant assistance being stage-synchronized with the surgical procedure.