A process for isomerizing a feed comprising at least one aromatic compound containing eight carbon atoms per molecule is carried out in the presence of a catalyst comprising at least one modified zeolite with structure type EUO, at least one binder and at least one metal from group VIII of the periodic table, said catalyst having been prepared using a process which comprises the following in succession: a) a step for treatment of a zeolite with structure type EUO in the presence of at least one molecular compound containing at least one silicon atom, during which said compound, with a diameter greater than the maximum pore opening diameter in said zeolite, is deposited in the gas phase on the outer surface of said zeolite; b) at least one heat treatment step; c) forming said zeolite with a binder; d) at least one step for introducing at least one metal from group VIII of the periodic table onto a support based on said modified and formed zeolite.