Abstract: A transmyocardial implant for establishing a blood flow path through a myocardium between a heart chamber and a lumen of a coronary vessel residing at an exterior of said wall includes a hollow conduit having a vessel portion and a myocardial portion. The vessel portion is sized to be received within the lumen. The said myocardial portion is sized to extend from the vessel through the myocardium and into the chamber. The conduit has an open first end and an open second end on respective ones of the vessel and myocardial portions to define a blood flow pathway within an interior of the conduit between the first and second end. At least the myocardial portion of the conduit is formed of a conduit material sufficiently rigid to resist deformation and closure of the pathway in response to contraction of the myocardium. The conduit material is resistant to thrombus formation.