The invention relates to a method for coating surfaces, to a corresponding coating, and to the use of the objects coated according to said method. According to the invention, the method has or consists of the following steps: I. providing a substrate with a cleaned surface, II. contacting and coating the surfaces with an aqueous composition in the form of a dispersion and/or suspension, VI. if necessary rinsing the organic coating, and VII. drying and/or baking the organic coating or VIII. if necessary drying the organic coating and carrying out a coating process using a similar or additional coating composition prior to a drying and/or baking process, wherein between step I and step II, the coating process is carried out using an aqueous composition in the form of a dispersion and/or suspension on the basis of a colloidal silicate sol, which incorporates multivalent metal cations, or a silane- or silicate-modified polymer and if necessary a rinsing process is carried out.