A method for producing a superconductive wire, whereby an elongated intermediate element is formed out of an initial element in a deformation step and whereby the superconductive filaments are formed by a final reaction heat treatment, is characterized in that prior to the final reaction heat treatment the filaments in the intermediate element are densified in one or more high pressure densification steps following up the deformation step, said densification steps comprising a simultaneous action of at least four hard surfaces perpendicular to the axis of the elongated intermediate element, building up high pressure P≧100 MPa on a part of the intermediate element having an axial length L. This leads to a substantial increase of the critical current density Jc, whereby the anisotropy factor Γ is be almost not affected thus enabling production of almost isotropic wires or tapes.