Heat exchange system for exchanging heat between air located inside of a space and air located outside of the space, said space having a floor, said heat exchange system comprising: - at least one enclosure defining a housing and having a base intended to be placed facing the floor of the space, said enclosure having a horizontal plane, - first and second heat exchangers one forming a condenser and one an evaporator, at least one of said first and second heat exchangers forming a finned heat exchanger arranged in the housing of the enclosure, distanced from the base in a vertical direction perpendicular to the horizontal plane, said finned heat exchanger (10, 20) having a central axis parallel to the horizontal plane and comprising an exchange channel and a plurality of fins which extend transversely relative to the central axis, from the exchange channel, perpendicularly to said exchange channel, each of the fins comprising at least two passage openings through which extend pipes, each of the fins of the finned heat exchanger (10, 20) having a lower edge (50; 50a; 50b) placed facing the base, said lower edge (50; 50a; 50b) having at least one flow zone (53; 53a; 53b) placed close to the base and at least one flow slope (54; 54a; 54b) extending towards the base to said flow zone (53; 53a; 53b), so as to guide along the lower edge (50; 50a; 50b) the flow of condensation water that forms on the evaporator, - a coolant circuit connected to the first and second heat exchangers and adapted for circulating a coolant in said first and second heat exchangers, - a first air circuit associated with the first heat exchanger, for exchanging heat between the coolant and the air located inside of the space by means of the first heat exchanger, and a second air circuit associated with the second heat exchanger, for exchanging heat between the coolant and the air located outside of the space by means of the second heat exchanger, said heat exchange system being characterized in that the exchange channel extends substantially parallel to the horizontal plane, in that said exchange channel comprises at least one row of pipes, said row of pipes comprising at least two pipes extending in a same plane substantially parallel to the horizontal plane, axially relative to the central axis, and in that at least one of said first and second air circuits associated with the finned heat exchanger (10, 20) is adapted to circulate the air in the vertical direction in the vicinity of the finned heat exchanger (10, 20). - at least one enclosure defining a housing and having a base intended to be placed facing the floor of the space, said enclosure having a horizontal plane, - first and second heat exchangers one forming a condenser and one an evaporator, at least one of said first and second heat exchangers forming a finned heat exchanger arranged in the housing of the enclosure, distanced from the base in a vertical direction perpendicular to the horizontal plane, said finned heat exchanger (10, 20) having a central axis parallel to the horizontal plane and comprising an exchange channel and a plurality of fins which extend transversely relative to the central axis, from the exchange channel, perpendicularly to said exchange channel, each of the fins comprising at least two passage openings through which extend pipes, each of the fins of the finned heat exchanger (10, 20) having a lower edge (50; 50a; 50b) placed facing the base, said lower edge (50; 50a; 50b) having at least one flow zone (53; 53a; 53b) placed close to the base and at least one flow slope (54; 54a; 54b) extending towards the base to said flow zone (53; 53a; 53b), so as to guide along the lower edge (50; 50a; 50b) the flow of condensation water that forms on the evaporator, - a coolant circuit connected to the first and second heat exchangers and adapted for circulating a coolant in said first and second heat exchangers, - a first air circuit associated with the first heat exchanger, for exchanging heat between the coolant and the air located inside of the space by means of the first heat exchanger, and a second air circuit associated with the second heat exchanger, for exchanging heat between the coolant and the air located outside of the space by means of the second heat exchanger,