The invention relates to a multistage membrane distillation apparatus (5000), comprising a plurality of multistage membrane distillation modules (500, 600), the modules being configured to be flowed through in parallel by a liquid (F) to be concentrated. Each module comprises a plurality of serial condensation/evaporation stages (50, 60) configured to be flowed through in series by the liquid to be concentrated. Each condensation/evaporation stage comprises a plurality of parallel condensation/evaporation elements (101, 102) configured to be flowed through in parallel by the liquid to be concentrated. Each condensation/evaporation element comprises at least one condensation unit and at least one evaporation unit. The apparatus further comprises at least one of: a centralized heating stage configured to generate steam and to provide the steam to each of the modules in parallel, and a centralized condensation stage configured to receive steam from each of the modules in parallel and to condensate the steam.