I have several 32 and 380 autos and have bought and fired a wide
variety of ammo in both calibers over the years. Both calibers are very
common and popular world wide and produced by many different
companies. Most of the ammo that I have used for both has been FMJ
foreign made for export or sold off as surplus by various countries.
The rim thickness and profile and extractor groove contoure varies
considerably among the different manufacturers of these two rounds
and it's to be expected that some makes of ammo and guns will be
less compatible than others. If you only have one gun buy a few and
test for function before you buy a large amount.