Abstract: A method having a step of heating a mass forming a braze. Before the heating step, the method includes steps of arranging the mass and the member on the support. In particular, it includes a step of positioning the mass on the support and a step of applying a first compressive force on the mass so as to compress said mass against the support, the intensity of the first force increasing up to a predetermined first value chosen so as to flatten the mass. Next, the method includes a step of positioning the member on the flattened mass and a step of applying a second compressive force to the member so as to compress said member against the flattened mass and the support, the intensity of the second force increasing up to a second predefined value, the second predefined value being lower than the first predefined value.