The invention relates to a method and an in particular container press arrangement (10) for pressing a pressed part, in particular a container (11) having at least one handle (13) made from a powdered and/or granulated ceramic material to be pressed (18). The press arrangement has a first compression mould component (22), which has a membrane (26) at which compression pressure (p1) can be applied on the back side, an outer mould (40) which is elastic at least in sections, and which is inserted or can be inserted in the first compression mould component (22), and a second compression mould component (23; 60) which can be arranged as a counter element for forming a moulding cavity (43) between itself on the one side and an interior mould section, in particular a cup moulding section (50) of the outer mould (40), on the other side. In addition, an outer mould of this type, a method, and a device for the production of the same are also provided.