The present invention relates to a medical cooling device for cooling at least one infusion fluid(s) comprising at least one Peltier element (10) having a cooling side (11) and a heating side (12) and being adapted and/or arranged to provide a first cooling power, at least one cooling duct (2) which is provided in, at and/or in the vicinity of the cooling side (11) of the Peltier element (10), the cooling duct (2) having an input port (21) where the infusion fluid enters and/or approaches the cooling side (11) of the Peltier element (10) or the vicinity thereof and an output port (22) where the infusion fluid exists or departs the cooling side (11) of the Peltier element (21) or the vicinity thereof and at least one further cooling stage (30) being adapted and/or arranged to generate a second cooling power which is adapted and/or arranged for cooling the heating side (11) of the Peltier element (10). The second cooling unit (30) has a second cooling power that is larger than the first cooling power of the Peltier element (10). The present invention also relates to a respective method.
