In April 1059, Cunibert attended the Lateran council held by Pope Nicholas II in Rome.
[2] During the Cadalan Schism (1061-1064) he supported the Pope Alexander II against Bishop Cadalus of Parma.
Peter Damian accused Cunibert of being too lax in his dealings with simonists and unchaste priests.
[4] Cunibert was opposed to the appointment of Benedict II as abbot of San Michele della Chiusa, believing that the abbey belonged to the diocese of Turin, and that he, rather than the monks of San Michele should choose the new abbot.
In 1078, along with Peter I, Count of Savoy, Cunibert thus attempted to drive Abbot Benedict II from the abbey.