A prosthetic valve system for replacing a native aortic valve exhibiting regurgitation comprises a support structure and a transcatheter heart valve (THV) that is separate from the support structure. The support structure is radially collapsible and expandable, and deployable on an outflow side of the native aortic valve, circumscribing the native leaflets of the aortic valve. The THV is radially collapsible and expandable, and deployable in an annulus of the native aortic valve to frictionally engage the native leaflets between an interior surface of the support structure and the THV.