A method for producing a mold element provided with a conduit arrangement through which a cooling fluid can flow. The method includes providing a first component and a second component of the mold element, the first component being provided with a precursor arrangement of the conduit arrangement, the precursor arrangement having an open channel arrangement; joining the first component and the second component, so that a surface of the second component faces the open channel arrangement to define therewith the conduit arrangement. The step of joining includes making integral the first component with the second component via a third component formed in contact with the first component and with the second component in an auxiliary mold.