Abstract: A method for the electroslag refining of titanium base alloy is provided. The method involves providing a refining vessel to contain an electroslag refining layer floating on a layer of molten refined metal. An ingot of unrefined titanium base alloy having a higher nitrogen content is lowered into the vessel into contact with the molten electroslag layer. A refining current is passed through the slag layer to the ingot to cause surface melting at the interface between the ingot and the electroslag layer. As the ingot is surface melted at its point of contact with the slag, droplets of the unrefined metal are formed and these droplets are refined as they pass down through the slag and are collected in a body of molten refined metal beneath the slag. The refined metal is held within a cold hearth. At the bottom of the cold hearth, a cold finger orifice is provided to permit the withdrawal of refined metal from the cold hearth apparatus.