The plasma reactor defines a reaction chamber provided with a support for the metallic pieces and an anode-cathode system, and a heating means is mounted externally to said plasma reactor. The plasma process, for a cleaning operation, includes the steps of connecting the support to the grounded anode and the cathode to a negative potential of a power source; feeding an ionizable gaseous charge into the reaction chamber and heating the latter at vaporization temperatures of piece contaminants; applying an electrical discharge to the cathode; and providing the exhaustion of the gaseous charge and contaminants. A subsequent heat treatment includes the steps of: inverting the energization polarity of the anode-cathode system; feeding a new gaseous charge to the reaction chamber and maintaining it heated; applying an electrical discharge to the cathode; and exhausting the gaseous charge from the reaction chamber.