They do sell Berdan depriming tools, but there is an old hydraulic method for removing Berdan caps. Find a rod, or dowel or something nearly the same ID as your case mouth. You can always use a slightly smaller rod and wrap plastic electrical tape around it to fit the case mouth. Fill the case 2/3 with water, place the case in a shellholder so the primer can eject, insert the rod to water level, and whack with a mallet.
It sounds stupid, but it is a standard handloader's technique for depriming Berdan caps. I did it on 9mm Steyr surplus cases in the 1970's until Fiocchi started selling factory ammo. Do it in a sink or outside, because it squirts a little water out the two flash holes each time.
By the way, a Fiocchi press release many years ago said they were importing Berdan primers and shotshell primers, but I only see the 209 shotshell primer today. I don't know if they still distribute Berdan today or not.