In a stator section (1) of an axial flux electric machine with liquid cooling system, a toroidal core (2) having an inside cylindrical surface (20) and an outside cylindrical surface (21) coaxial with each other along a reference axis (22), is provided along its annular centre line (200) with a plurality of electrical conductor coils (4) spaced from each other and each placed around the core (2) with a first face of it (41) lying on the outside cylindrical surface (21), a second face of it (42) lying on the inside cylindrical surface (20) and a third and fourth face of it (43, 44) lying transversally to the first and second faces (41, 42). Each cooling duct section (30) of a plurality of cooling duct sections (30) produces a movement of the liquid coolant from a first base surface (25) of the core (2) to a second base surface (26) of the core (2) and is located between the two first faces (41) of two consecutive coils (4) or between the two second faces (42) of two consecutive coils (4). At least the first or the second face (41, 42) of any one coil (4) of the plurality of coils (4) is adjacent to and in contact with at least one respective cooling duct section (30) of the plurality of cooling duct sections (30).