An effective energy storage approach, such as Power-to-Gas, is essential to provide the grid with a steady supply of power generated by renewable sources. In a Power-to-Gas concept, excess renewable energy is stored in the form of H2 which, in turn, can react with CO2 from sources such as biogas to be converted into CH4 and generate Renewable Natural Gas (RNG). Methanation however, is an exothermic and equilibrium-limited reaction which suffers from poor heat management when carried-out in conventional packed-bed reactors. Additionally, unreacted H2 mixed with CH4 has to be removed before the RNG is injected into the pipeline. To improve the methanation of biogas, two commercial high temperature reactive separation systems have been studied numerically in this work: (i) an extractor/distributor membrane reactor employing a carbon molecular sieve membrane; (ii) a distributor membrane reactor using a palladium membrane. Both configurations have been shown to considerably reduce the content of CO2 and H2 in the resulting RNG and, hence, the post-processing efforts needed as compared to a packed-bed reactor operating under the same conditions.