The present invention relates to a "dry" particulate filtering apparatus for diesel engines, in particular for marine diesel engines, as well as a method of operation and regeneration of said apparatus. The apparatus according to the present invention is characterised in that it comprises a plurality of independent compartments which are arranged in parallel with respect to the flow of the exhaust gases to be treated, and in that it comprises, on each of said compartments, shut-off means that allow a single compartment to be excluded from the filtering during the regeneration operations of the filtering means, which primarily takes place by means of a countercurrent pulse of compressed air flowing into the filtering means.