A converter assembly for converting a primary light into a secondary light includes at least one element which has a light-converting structure with open pores and which is laterally held by a frame. The surfaces of both the light-converting structure as well as of the inner face of the frame are covered with a transparent layer such that each of the afore-mentioned elements forms a region in which a property of the incident light and preferably of the wavelength thereof is changed. In specific embodiments, the converter assembly can be part of display assemblies or of miniaturized components for example. There is also described a method for producing the converter assembly.