A method for overall control of combustion modes of a heat engine , in particular of a motor vehicle, permitting a sulphur purge (DeSox), or a purge of hydrocarbons (DéHC) of an oxidation catalyst , a regeneration (RG_FAP) of a particle filter equipping an exhaust line of said heat engine , comprising: - an estimation step of a sulphur charge (Ch_Sox_Cat) in the oxidation catalyst , - an estimation step of a charge of hydrocarbons (Ch_HC_Cat) in the oxidation catalyst , - an estimation step of a soot charge (Ch_SU_FAP) of the particle filter, - a determination step of additional criteria (Crit_A) relating to the evaluation of driving events, - a comparison step of the sulphur charge (Ch_Sox_Cat) and charge of hydrocarbons (Ch_HC_Cat) in the oxidation catalyst , of the soot charge (Ch_Su_FAP) of the particle filter , and of the additional criteria (Crit_A) to a plurality of decision rules (R), each decision rule (R) comprising a plurality of associated thresholds (S1, S2, S3) respectively to the sulphur charge (Ch_Sox_Cat) and charge of hydrocarbons (Ch_HC_Cat) in the oxidation catalyst , to the soot charge (Ch_Su_FAP) of the particle filter , and to the additional criteria (Crit_A) relating to the driving event evaluation, and - a realization step, by selection of a combustion mode (RG_FAP_1, RG_FAP_2), adapted from the heat engine , the regeneration (RG_FAP) of the particle filter , the sulphur purge (DéSox) or the purge of hydrocarbons (DéHC) of the oxidation catalyst as a function of the verified decision rule (R), characterized in that the decision rules (R) are ordered, the first verified rule according to the order is retained and applied, and the rules (R) are aimed according to their ascending order at - a purge of hydrocarbons (DéHC) followed by a regeneration (RG_FAP) of the particle filter with a sulphur purge (DéSox) of the catalyst , - a sulphur purge (DéSox) of the oxidation catalyst realized in a synchronized manner with the regeneration (RG_FAP) of the particle filter, and - a sulphur purge (DeSox) only, a purge of hydrocarbons (DéHC) only, a regeneration (RG_FAP) of the particle filter only. - an estimation step of a sulphur charge (Ch_Sox_Cat) in the oxidation catalyst , - an estimation step of a charge of hydrocarbons (Ch_HC_Cat) in the oxidation catalyst , - an estimation step of a soot charge (Ch_SU_FAP) of the particle filter, - a determination step of additional criteria (Crit_A) relating to the evaluation of driving events, - a comparison step of the sulphur charge (Ch_Sox_Cat) and charge of hydrocarbons (Ch_HC_Cat) in the oxidation catalyst , of the soot charge (Ch_Su_FAP) of the particle filter , and of the additional criteria (Crit_A) to a plurality of decision rules (R), each decision rule (R) comprising a plurality of associated thresholds (S1, S2, S3) respectively to the sulphur charge (Ch_Sox_Cat) and charge of hydrocarbons (Ch_HC_Cat) in the oxidation catalyst , to the soot charge (Ch_Su_FAP) of the particle filter , and to the additional criteria (Crit_A) relating to the driving event evaluation, and - a realization step, by selection of a combustion mode (RG_FAP_1, RG_FAP_2), adapted from the heat engine , the regeneration (RG_FAP) of the particle filter , the sulphur purge (DéSox) or the purge of hydrocarbons (DéHC) of the oxidation catalyst as a function of the verified decision rule (R), characterized in that the decision rules (R) are ordered, the first verified rule according to the order is retained and applied, and the rules (R) are aimed according to their ascending order at - a purge of hydrocarbons (DéHC) followed by a regeneration (RG_FAP) of the particle filter with a sulphur purge (DéSox) of the catalyst , - a sulphur purge (DéSox) of the oxidation catalyst realized in a synchronized manner with the regeneration (RG_FAP) of the particle filter, and - a sulphur purge (DeSox) only, a purge of hydrocarbons (DéHC) only, a regeneration (RG_FAP) of the particle filter only. <EOS>