An implantable prosthetic valve assembly, according to one embodiment, comprises a frame assembly including a plurality of struts and a prosthetic valve secured inside the frame assembly by sutures. The sutures are inward of the outermost surface of an outer periphery of the frame assembly. In certain embodiments the struts contain recesses in which sutures can be disposed. In other embodiments, the struts can have holes through them which the sutures pass through. The implantable prosthetic valve assembly can also be collapsed within a catheter such that an outermost surface of a periphery of the frame assembly touches the catheter but the sutures are spaced apart from the catheter or are flush with the outer surface of the frame.