The present invention relates to electrically conductive and electrically weldable anti-corrosion compositions for coating metal surfaces, a process for coating metal surfaces with electrically conductive organic coatings, as well as the correspondingly coated and optionally painted metal strips, sheets or parts, the coatings comprising: an organic binder, an anti-corrosion pigment, at least one conductive pigment with a density of at least 3 g/cm3 and optionally at least one conductive pigment with a density of less than 3 g/cm3.