Prosthetic valves are provided with a leaflet assembly having at least one leaflet attached to a supporting element, which leaflet has a free margin that can move between a first position wherein the free margin is flexed away from a closure surface to allow body fluid to flow through the valve, and a second position wherein the free margin abuts the closure surface to close the valve, and wherein the leaflet, without pulsatile load on the valve, can form a coaptation height H of more than 0.1 mm along the length of the free margin. Such prosthetic valve provides good performance during prolonged time, and can be made using various materials for the leaflets.