To my knowledge Norma has never made rifles itself. They only designed and produced the 308 and 358 Norma Magnum cartridges for use in rifles made by the Danish company Schultz and Larsen. Similarly Norma was the only manufacturer of the 7x61 Sharpe and Hart cartridge (designed by a couple of well known USA gun gurus) and Schultz and Larsen produced the only factory rifles for this 7mm magnum cartridge.

Plenty of rifles have been made up for these three cartridges by gunsmiths most often on a Mauser 98 action.