In a method of processing molten material, in the form of non-metallic melt such as slag, into amorphous material, in which the molten material is vitrified by cooling, wherein the molten material for being vitrified is brought into contact with a metal bath and then discharged as amorphous material from the metal bath, the molten material is introduced into the metal bath via an open end of a dip tube immersing into the metal bath and is in the metal bath conveyed away from the area of the open end of the dip tube, preferably by means of a mechanical disintegrator, preferably a rotor.