A method for the forced dewatering, by pressing, of saline residues produced by drinking water production, or by the treatment of municipal or industrial wastewaters, in which method the saline residues are introduced into the cylinder (12a) of a piston press (12) comprising flexible drains (12e) formed by flexible sheaths from a material that is permeable to liquid but impermeable to solids, each drain (12e) comprising an inner passage that opens into an associated opening (12g), the press operating in batches, and characterized in that during pressing, the piston carries out reciprocal movements and applies alternating and variable pressures to the sludge, while the flexible drains are deformed, the liquid pressed out from the product passing through the wall of the drains and being discharged as a filtrate, while the dewatered sludge remains outside the drains and is discharged by opening the press.