The synthesis of polymeric nanoparticles by two-step emulsion polymerization techniques is proposed for their application in metal recovery processes, particularly yttrium and europium.The particles will be functionalized with acrylic acid, fumaramide and curcumin at different percentages of solids content, (5, 10 and 15% p) to analyze their effect on the recovery of yttrium and europium rare earths in model solutions, and to establish the possible extraction mechanism. It is proposed to evaluate the efficiency of extraction and discharge of metal ions from polymeric materials, as well as to determine the pH conditions and the solid-liquid ratio that maximize the extraction and discharge of metal ions, thus seeking the substitution of liquid extractants used in the hydrometallurgical industry, which are expensive and highly polluting. Finally, a kinetic model that best fits the process will be proposed. The materials before and after extraction and discharge will be characterized by known techniques to evaluate structural and morphological changes of the polymeric particles