To improve the energy recovery of a device (1, 50, 100) for energy recovery from fumes or gases (F, F3, F4, FF), it comprises at least two stages (A, B, 3, 15, 20, 52, 76, 110, 150) in tandem arrangement wherein the downstream stage receives the fumes or gases output from the upstream stage, each stage comprising an inlet (A1, B1) and an outlet (U1, U2) for a liquid (H20) adapted to meet the fumes or gas traveling inside the stage in order to subtract from them heat and / or impurities.