A cooling system for a motor vehicle comprising: - a cooling circuit for cooling a combustion engine in a motor vehicle by means of a cooling fluid flowing in the cooling circuit, - a cooling fluid pump for circulating the cooling fluid in the cooling circuit, - a cooling fluid radiator coupled into the cooling circuit for cooling the cooling fluid, wherein said cooling fluid radiator comprises a cooling fluid inlet that is connected to a cooling fluid outlet of the combustion engine via a first line of the cooling circuit and a cooling fluid outlet that is connected to a cooling fluid inlet of the combustion engine via a second line of the cooling circuit, wherein said first line is connected to said second line via a third line of the cooling circuit, which third line is connected to the second line at a first point in the second line and arranged so as to allow cooling fluid to return to the combustion engine without passing through said cooling fluid radiator, and - a thermostat device coupled into said first line, which thermostat device is arranged so as to regulate the flow of cooling fluid to the cooling fluid radiator and to said third line in dependence upon the temperature of cooling fluid that is conducted into the thermostat device from a pilot line included in the cooling circuit, which pilot line is connected at its upstream end to said second line at a second point located between said first point and the cooling fluid inlet of the combustion engine, characterized in that the cooling system comprises a heat exchanger that is coupled into the pilot line upstream from the thermostat device, wherein said heat exchanger is arranged so as to allow heat exchange between the cooling fluid flowing through the pilot line and any of the following media: A) cooling fluid flowing through a conducting portion of said second line that is located upstream from said first point, or B) charge air flowing through an air intake line to the combustion engine downstream from a compressor arranged in said air intake line, or C) ambient air that has passed through the cooling fluid radiator which comes into heat-transferring contact with a cooling coil so as to allow the transfer of heat from the cooling fluid flowing through the cooling coil to said ambient air. - a cooling circuit for cooling a combustion engine in a motor vehicle by means of a cooling fluid flowing in the cooling circuit, - a cooling fluid pump for circulating the cooling fluid in the cooling circuit, - a cooling fluid radiator coupled into the cooling circuit for cooling the cooling fluid, wherein said cooling fluid radiator comprises a cooling fluid inlet that is connected to a cooling fluid outlet of the combustion engine via a first line of the cooling circuit and a cooling fluid outlet that is connected to a cooling fluid inlet of the combustion engine via a second line of the cooling circuit, wherein said first line is connected to said second line via a third line of the cooling circuit, which third line is connected to the second line at a first point in the second line and arranged so as to allow cooling fluid to return to the combustion engine without passing through said cooling fluid radiator, and - a thermostat device coupled into said first line, which thermostat device is arranged so as to regulate the flow of cooling fluid to the cooling fluid radiator and to said third line in dependence upon the temperature of cooling fluid that is conducted into the thermostat device from a pilot line included in the cooling circuit, which pilot line is connected at its upstream end to said second line at a second point located between said first point and the cooling fluid inlet of the combustion engine, characterized in that the cooling system comprises a heat exchanger that is coupled into the pilot line upstream from the thermostat device, wherein said heat exchanger is arranged so as to allow heat exchange between the cooling fluid flowing through the pilot line and any of the following media: A) cooling fluid flowing through a conducting portion of said second line that is located upstream from said first point, or B) charge air flowing through an air intake line to the combustion engine downstream from a compressor arranged in said air intake line, or C) ambient air that has passed through the cooling fluid radiator which comes into heat-transferring contact with a cooling coil so as to allow the transfer of heat from the cooling fluid flowing through the cooling coil to said ambient air. A) cooling fluid flowing through a conducting portion of said second line that is located upstream from said first point, or B) charge air flowing through an air intake line to the combustion engine downstream from a compressor arranged in said air intake line, or C) ambient air that has passed through the cooling fluid radiator which comes into heat-transferring contact with a cooling coil so as to allow the transfer of heat from the cooling fluid flowing through the cooling coil to said ambient air.