The invention relates to a filter element (1, 31) for use as a particulate filter in a cooling circuit (100), in particular of an electrochemical energy converter, having a conical grid support structure (3, 33). The filter element features at a first axial end a supply opening (23, 49) for supplying a cooling medium to be filtered into the filter element (1, 31) and the grid support structure (3, 33) carries a filter medium (4, 34). The filter element (1, 31) has axially opposite the supply opening (23, 49) a funnel (16, 40) for axially discharging and collecting particulate impurities, and is closed at second axial end. The conical grid support (3, 33) structure tapers from the first axial end to the second axial end. An arrangement of a fuel cell (102) having a a cooling circuit (100) with the filter element is disclosed.