A process of producing a layer composite includes a luminescence conversion layer and a scattering layer, wherein a press having a first pressing tool with a cavity and a second pressing tool is used including introducing a first polymer including a luminescence conversion substance into the cavity, inserting a film between the first and second tools, closing the press and carrying out a first pressing, hardening the first polymer to form a luminescence conversion layer in the press, opening the press, wherein the luminescence conversion layer adhering to the film remains in the press, introducing a second polymer including scattering particles into the cavity, closing the press and carrying out a second pressing, hardening the second polymer to form a scattering layer disposed on the luminescence conversion layer, opening the press, and removing the support film with the layer composite including the luminescence conversion layer and the scattering layer.