A method of manufacturing a multi-filamentary superconducting wire comprises making a laminate of an expanded base metal lamina and a reactant metal lamina, tightly wrapping the laminate around a metal core and then hydrostatically extruding it. The expanded base metal may be either niobium or vanadium, the reactant metal may be one of tin, aluminum, germanium, gallium, and titanium. In the making of Nb3Sn superconducting wire, the reactant metal may be an alloy of tin, for example, Babbitt metal. A third lamina may be added to the laminate to prevent radial movement of the reactant metal during processing.