  The influence of attractive boron impurities, embedded on a graphene sheet,
on the phase diagrams of $^4$He and H$_2$ adsorbed on top was studied using the
diffusion Monte Carlo method. The doping of graphene was made by distributing
the boron atoms following the same pattern found in an experimentally
synthesized substrate. Our results show that while the different incommensurate
solid phases of both adsorbates remain largely unchanged after doping, the
liquid/gas equations of state are significanty different from the ones on
pristine graphene. Doping graphene produces new translationally invariant
stable phases for $^4$He, depending on the concentration of boron impurities,
but makes the H$_2$ ground state to remain solid. In addition, several new
registered phases appear for both adsorbates.
