Nagants shoots 32 centerfire rimmed rounds - all of them. The only one that chambers but should not be fired is the 327 mag. The 32ACP is too small for the military cylinder hence the need for an after-market one. Back when I had many Nagants (I only have one, now, a target model), I bought a 32 cylinder. It only worked reliably in one of my revolvers given the "hand fitted" nature of Nagants. That was fine, of course, because that one revolver was my 32acp version. When I shot my CZ-50, I could take that Nagant along, as well.
It would be expensive and destructive, but i would be interested in learning how 327 reacts in a Nagant revolver. Back when they cost me less than $50 each, it could have been interesting to do a test. (The problem with me, is not that the money would be too much of a problem, but I could not bear to destroy a revolver that went through WWII.)