An apparatus for performing a medical procedure and, in particular, an aortic valvuloplasty, in a vessel for transmitting a flow of fluid. The apparatus comprises a shaft, an inflatable perfusion balloon supported by the shaft and including an internal passage for permitting the fluid flow in the vessel while the perfusion balloon is in an inflated condition, and a valve for controlling the fluid flow within the passage. The valve may be connected to the shaft, or may comprise an elongated tube partially connected to the balloon. The balloon may comprise a plurality of cells in a single cross-section, each cell including a neck, and the valve may be positioned in a space between the shaft and the necks for controlling the fluid flow within the passage. A connector may also be provided to control the position of the valve.
