An exemplary cooling arrangement for high temperature fuel cell system for substantially reducing the amount of purge gas in a system shutdown situation includes a fuel cell having an anode side, a cathode side, and an electrolyte between the anode side and the cathode side. The cooling arrangement includes a coolant source capable of providing coolant to be used in a cooling process of the high temperature fuel cell system during the system shutdown situation, and a cooling structure in connection with the coolant source arranged in a thermal effect area of the fuel cell stacks. The arrangement also includes the vessel that feeds the coolant into the cooling structure from the coolant source, a heat exchanger that exhausts used coolant from the cooling structure, and an actuating device that uses a triggering force to trigger a coolant flow in the cooling structure, when the system shutdown situation has started.