probably some husqvarna in 9,3x57R 360
this is the german version of the britisch 360 BPE

http://www.municion.org/360/360CoiledBPE2_25.htm

this startet in 1867 in the time when all this black powder express cartridges were developt 450 BPE, 500 BPE , 577 BPE

all were try by the britisch army to find a new military cartridge what ends with a 577 case necked down to 450 - 577/450 Martiny Henry.
the little 360 BPE 2 1/4" was maybe the very first center fire rifle cartridge with a diameter under 10 mm. to be called BPE it had to fire a 300 grains bullet with a muzzle velocity of 500m/sec.
the cartridge became popular for deer hunting in scotland and make it very quick to europe.

http://www.municion.org/9_3/9_3x57R.htm
this was at least since 1884 made in germany but I would say it can go back before 1880 there

the britisch cartridge was made later also with a drawn brass case http://www.municion.org/360/360Drawn.htm
iirc, the cheaper coiled case was still available as loaded ammo in the 1904 eley catalog maybe because of the price.

to make it simple a german made cartridge should fit into a britisch gun but many german guns dont accept britisch made ammo if the chamber is to precise.

WHY? the german brass case follow the coiled case and is a little bit tapered, the britisch case is conical. try to get a britisch and a german cartridge and load into your gun to see what fits.

I recommend ch4d for a die set