Once worked with someone like that too. And he was terrible at keeping to things agreed on such calls, and would in fact later claim that we'd agreed things which we had not.

I started following every call with a short email listing, for the avoidance of doubt, everything agreed in the call, with a note that if I've missed anything he should let me know ASAP, and explicitly mentioning anything that didn't have a satisfactory conclusion during the call. Never felt the need to CC in others, unless they were specifically relevant, though that would have been a further step if needed (if he claimed to have never seen an mail etc.).