A modular valve prosthesis includes an anchor stent and a valve component. The anchor stent includes a self-expanding tubular frame member configured to be deployed in the aorta and a proximal arm component extending from a proximal end of the tubular frame member and configured to be deployed in the sinuses of the aortic valve. The anchor stent further includes attachment members extending from an internal surface of the tubular frame member. The valve component includes a valve frame configured to be deployed within the tubular frame member of the anchor stent such that the valve frame engages with the attachment members of the tubular frame member and a prosthetic valve coupled to the valve frame.