Laser synthesis of functionally graded materials with controlled porosity and chemical content is being discussed. Filter elements made of metal - polymer powder compositions were fabricated by the Selective Laser Sintering method. The study revealed that physicochemical properties of the composed 3D part can change from layer to layer and be designed on the stage of computer modelling. An original graph-analytical technique and numerical simulations were offered to estimate the flow and permeability features of isotropic and anisotropic cylinder-shaped filtering elements for the fluidic NEMS. The comparative study of catalytic characteristics of micro- and nano- Cu particles inserted in filter was carried out in the benzene hydrogenation reaction by the gas chromatography method. We have also estimated the remarkable catalytic effect during the low temperature oxidation of carbon monoxide and propane on the nano Ni core/polymer shell structures differing in particle size and extent of oxidation.