A guidewire made from a drawn filled tube composite wire is described. The composite wire has a stainless steel outer sheath jacketing a nitinol core wire. The drawn filled tube composite wire is ground at its distal end to expose the nitinol core, which has superelastic and kink resistant properties that are desirable for the distal end of a guidewire. The proximal end of the drawn filled tube is not ground or if ground, the outer sheath of stainless steel is not removed to an extent sufficient to expose the nitinol core.