The methylation of amines for the synthesis of methylamines and dimethylamines as platform chemicals has been attempted mostly by homogeneous catalysts with acid additives. However, there are scarcely any reports on heterogeneous catalytic methylation reactions except for a routine approach under high temperature and high pressure of CO2 and H2 gases for extended reaction times. Here we report a heterogeneously catalyzed selective methylation of aromatic amines using reactive and nontoxic formic acid as the only source for the construction of methyl groups, under ambient pressure in an additive-free one-pot reaction condition. Equal proportions of Pd and Ag in the PdAg/Fe3O4/N-rGO catalyst deliver highly selective amine methylation without aromatic ring hydrogenation, as the strained Pd in the alloy is combined with the graphene-derived support, preventing nanoparticle agglomeration and the action of magnetite as a promoter. Both N-methylation and N,N-dimethylation of various substituted aromatic amines were performed with complete conversion and excellent 90–97% selectivity by controlling the reaction times in the range of 10–24 h at 140 °C without unwanted aromatic ring hydrogenation. Furthermore, the developed bimetallic catalyst provided high yields (88–91%) of methylation with CO2+H2 gas under high pressure, which are as good as the results of homogenous catalysts with an acid additive. To the best of our knowledge, our use of this environmentally friendly methodology is the first time that this durable heterogeneous catalyst has readily performed highly selective methylation at ambient pressure, which is attractive for industrial applications. A heterogeneous palladium—silver alloy can catalyse selective methylation of aromatic amines under ambient pressure and without additives. Methylation of amines is used to manufacture chemicals used in fertilizers, fungicides, synthetic leathers and polymers. Formic acid, which is produced from biomass, is an environmentally friendly reagent for producing amines. Ajay Singh, Yoon-Ho Hwang and Dong-Pyo Kim at Pohang University of Science and Technology in Korea used a heterogeneous palladium—silver catalyst to selectively methylate aromatic amines at ambient pressure in a one-pot reaction that employs only formic acid as the source. They achieved complete conversion and high selectivities in the range 90–97% for methylation and dimethylation of various substituted aromatic amines. The catalyst realized yields comparable to those of homogenous catalysts with acid additives for methylation with carbon dioxide and hydrogen under high pressure. A heterogeneous palladium–silver alloy can catalyze selective methylation of aromatic amines under ambient pressure and without additives. Methylation of amines is used to manufacture chemicals used in fertilizers, fungicides, synthetic leathers and polymers. Formic acid, which is produced from biomass, is an environmentally friendly reagent for producing amines. They achieved complete conversion and high selectivities in the range 90–97% for methylation and dimethylation of various substituted aromatic amines only by formic acid as the source. The catalyst realized yields comparable to those of homogenous catalysts with acid additives for methylation with carbon dioxide and hydrogen under high pressure.