Battery module for an electrical storage system for an electric drive vehicle; wherein the battery module includes: a set of parallel cylindrical chemical batteries arranged side by side, at least two conductive plates arranged on said opposite sides and welded to the corresponding opposite terminals of said set of batteries, at least one refrigerated wall set adherent to one of said at least two conductive plates, at least one pad sandwiched between said at least one refrigerated wall and said at least one respective conductive plate, in which said pad is made of an electrically insulating and thermally conductive material.