The unique properties of graphene make it one of the best candidates as reinforcement of polymeric nanocomposites. One such case are poly(vinyl alcohol) (PVA)/graphene nanocomposites. The crystallinity and the segmental mobility of PVA are dramatically altered by the layered filler, as we have observed using differential scanning calorimetry (DSC). However, because graphene-based nanocomposites are materials still in their infancy, the origin of these changes in polymer dynamics remains unclear. Quasi-elastic neutron scattering, QENS, is the ideal tool to give a microscopic view into the striking dynamical changes of PVA/graphene nanocomposites. The objective of this proposal is to use QENS to study the dynamics of PVA as a function of the graphene loadings. This proposal is the first one of a series of scheduled experiments and, in future calls we plan to extend it to other polymers.