The present invention relates to providing a more sensitive and sustainable management of the leachate waters compared to the conventional pressure-driven membrane systems, thanks to the advanced treatment of the leachate waters coming out of the domestic/industrial solid waste sanitary landfills, with the innovative membrane systems based on membrane distillation technology, which focuses on an operation where (i)-more preferable technical performance levels are achieved thanks to having higher quality in discharge waters and lower volumes in membrane concentrates and where (¾)-lower unit treatment costs are achieved thanks to the cost-free coverage of the MD heating requirements by making use of the low pumping energy consumption of the MD and the heat obtained by burning the landfill gases in the landfill cogeneration unit, together with producing less discharge water due to reduced in-house concentrated waste loads; and additionally where (Hi)- the MD concentrate is utilized by making use of its inert heat by incinerating said concentrates and disposal thereof outside the landfill; and which benefits from eco-innovative in-house concentrated waste management practices based on a versatile return/distribution where membrane concentrates are not just returned to the landfill and where said concentrates do not pose a burden on the treatment plant.