Air conditioning system for motor-vehicles, comprising a circuit for a fluid, said circuit including: - a compressor, - a condenser for receiving the fluid coming out of the compressor, - an expansion valve for receiving the fluid coming out of the condenser, - an evaporator for receiving the fluid expanded by said expansion valve, through a conduit upstream of said evaporator, and for directing this fluid again to said compressor, through a conduit downstream of said evaporator, - wherein said expansion valve forms part of a thermally controlled expansion valve unit, wherein the expansion valve is controlled by a temperature sensor which detects the temperature of the fluid in the conduit downstream of the evaporator, - said circuit further including an intermediate heat exchanger for providing a heat exchange between said upstream conduit and said downstream conduit of the evaporator, wherein said thermally controlled expansion valve unit is arranged in such a way that said temperature sensor detects the temperature of the fluid along the conduit downstream of the evaporator, at a position along said downstream conduit which is located downstream also with respect to said intermediate heat exchanger IHX wherein said thermally controlled expansion valve includes: - a housing, - a first path including said expansion valve defined within said housing and interposed along said upstream conduit of the evaporator, - a second path, to which said temperature sensor is associated, said second path being defined within said housing and being interposed along said downstream conduit of the evaporator, along a length of said downstream conduit which is located downstream also with respect to said intermediate heat exchanger IHX, said system being characterized in that between said thermally controlled expansion valve unit and said evaporator there is interposed a connecting flange FL including a body through which a first passage, a second passage and a third passage are defined, wherein: - said first passage is interposed along said upstream conduit of the evaporator, along a length between the expansion valve and the evaporator, - said second passage is interposed along said downstream conduit of the evaporator, along a length between said second path of the thermally controlled expansion valve unit and said compressor, and - said third passage is interposed along said downstream conduit of said evaporator, along a length between the evaporator and said intermediate heat exchanger IHX, and wherein said thermally controlled expansion valve unit and said connecting flange FL are integrated with each other within a single unit having a single housing. - a compressor, - a condenser for receiving the fluid coming out of the compressor, - an expansion valve for receiving the fluid coming out of the condenser, - an evaporator for receiving the fluid expanded by said expansion valve, through a conduit upstream of said evaporator, and for directing this fluid again to said compressor, through a conduit downstream of said evaporator, - wherein said expansion valve forms part of a thermally controlled expansion valve unit, wherein the expansion valve is controlled by a temperature sensor which detects the temperature of the fluid in the conduit downstream of the evaporator, - said circuit further including an intermediate heat exchanger for providing a heat exchange between said upstream conduit and said downstream conduit of the evaporator, - a housing, - a first path including said expansion valve defined within said housing and interposed along said upstream conduit of the evaporator, - a second path, to which said temperature sensor is associated, said second path being defined within said housing and being interposed along said downstream conduit of the evaporator, along a length of said downstream conduit which is located downstream also with respect to said intermediate heat exchanger IHX, - said first passage is interposed along said upstream conduit of the evaporator, along a length between the expansion valve and the evaporator, - said second passage is interposed along said downstream conduit of the evaporator, along a length between said second path of the thermally controlled expansion valve unit and said compressor, and - said third passage is interposed along said downstream conduit of said evaporator, along a length between the evaporator and said intermediate heat exchanger IHX, and