A prosthetic valve assembly configured to be intraluminaly implanted into a lumen of a patient to replace a native deficient valve, the valve assembly comprising an outer support for expanding and anchoring against a lumen wall of the patient, a core valve support made of a collapsible and self-expanding material to expand and anchor into the outer support once anchored against the lumen wall, and a plurality of flexible leaflets fixed to the core valve support in a manner that the leaflets are independent from the outer support.
