A catheter configured for performing reperfusion by alternatively occluding a vessel so as to prevent fluid flow and removing that occlusion to allow fluid flow is described. A first catheter includes an outer member and a retractable valve to allow and prevent fluid flow in the vessel. A second catheter includes a sheathed expansion member that can be deployed and recaptured to prevent and allow, respectively, fluid flow. A third catheter includes an angioplasty balloon to open a vessel occlusion, in which an occlusion balloon is used to allow and disallow fluid flow. A fourth catheter includes an expandable member for providing mechanical plunging action to urge thrombotic material to a more distal location. A fifth catheter includes an accessory catheter that can be used to perform reperfusion with another catheter. A sixth catheter includes an inner balloon within an outer balloon configured to perform reperfusion.