Method for revamping a refining section of a methanol distillation plant comprising a medium pressure (MP) column a low pressure (LP) column, wherein both said columns comprise at least one bottom boiler, a gaseous stream of distilled methanol withdrawn from the MP column is fed to at least one bottom boiler of the LP column and a liquid solution containing methanol withdrawn from the MP column is fed to the LP column, the method of revamping comprising the installation of a high pressure (HP) column; the installation of a line feeding a gaseous stream of distilled methanol from the HP column to at least one bottom boiler of the MP column and the installation of a bottom line for exporting from the HP column a liquid stream consisting essentially of water.