A diagnostic catheter comprises an inner layer of substantially unmodified polyamide over which is a reinforcing means and an outer layer of polymer having a hardness of 50 Shore D to 70 Shore D, along with a suitable radiopaque filler. Affixed either directly to the end of the above tubular body or to a stem member secured to that tubular body is a soft-tip formed from a blend of PEBA whose hardness is such that the catheter can be Considered as having an atraumatic tip. The resulting catheter exhibits excellent torque and column strength characteristics while providing a relatively large diameter lumen for a given outside diameter.