An apparatus, system and method for re-canalization or opening a passage through an occlusion in a blood vessel is provided. The apparatus and method, which are appropriate for cardiovascular and peripheral vessels, use a pulling member and a spring member, for example a compression spring, to oscillate a drilling component. The drilling component at the distal end of the catheter tip has combined longitudinal stiffness for penetrating a total or partial occlusion and high axial (lateral) flexibility to improve deliverability and crossability of a catheter through a partially occluded vessel or a tortuous vessel, and may taper distally. The system of the invention includes the apparatus and a control unit to permit adjustment of the frequency or amplitude of oscillation of the drilling component. Also provided is a method for oscillating a drilling component using a pulling member and a spring member and a method of traversing an occlusion.