A refrigerant container, which is in particular suitable for use in a cooling system designed for operation with a two-phase refrigerant, includes a receiving space for receiving a refrigerant that is disposed in an interior of the refrigerant container. Disposed in the receiving space of the refrigerant container is a heat exchanger allowing passage of a further refrigerant therethrough and being configured to remove heat from refrigerant in the liquid and/or gaseous state of aggregation that is received in the receiving space in order to supercool the refrigerant and/or convert the refrigerant to the liquid state of aggregation.