A method for controlling a freezing phase in a single-control combined type refrigeration appliance comprises activating said freezing phase, including turning on a compressor and monitoring only a refrigerator temperature of a refrigerator compartment and a evaporator temperature of an evaporator associated with the refrigerator and a freezer. During the freezing phase, if the refrigerator temperature is greater than a predetermined upper refrigerator threshold, a fan associated with the refrigerator compartment is turned on until said refrigerator temperature is lower than a predetermined lower refrigerator threshold. Further, if the evaporator temperature is less than a predetermined lower evaporator threshold, the fan is turned on until the evaporator temperature is above a predetermined upper evaporator threshold. If the refrigerator temperature is lower than a predetermined minimum refrigerator temperature, the compressor is turned off. The method further includes deactivating said freezing phase after a given time has elapsed following said activation.