A percutaneous catheter with encapsulating receptacle comprises a first catheter having a proximal and distal end, several struts attached to the distal end of the first catheter and extending distally therefrom in a cup-shaped form, a second, inner catheter received within the first, and a pocket-shaped sheath received between the several struts and opening in the distal direction, the sheath having a proximal portion secured to the distal end of the second, inner catheter, and a distal portion secured to the distal ends of the several struts, whereby rotation of the first catheter, relative the second catheter, twists and closes the distal end of the sheath. A third, outer catheter is also disclosed within which the first and second catheters, and associated struts and sheath, are receivable. Also disclosed is a method for positioning the catheter adjacent an object, or receiving the object within the sheath and enclosing the sheath about the object to facilitate treatment of the object.