•Fluorographene chemistry, graphene derivatives and hybrids thereof. •Energy storage. •Bottom up synthesis of hybrid nanocolloids through self-assembly and grafting-to techniques. •Physicochemical derivatization of the surface of nanocrystallites with small molecules, biopolymers and synthetic macromolecules of variable architecture toward functional nanoassemblies. •Study of magnetic and colloidal properties and interactions with molecules of biological interest. •Study of structure-property relationships and optimization towards their applications as therapeutic nanoplatforms.