The invention relates to a method for producing a polymer layer composite that comprises a plurality of polymer layers and at least one polymer layer contains a laser-sensitive component, said method consisting of the following steps: A) first personalized information is applied to at least one of the polymer layers by means of an inkjet printing method as a colored inkjet printed layer, B) the polymer layer with the colored inkjet printed layer is then joined to the other polymer layers, the polymer layer with the colored inkjet printed layer being arranged between two other polymer layers, C) second personalized information is inscribed into the polymer layer composite obtained in step B) by means of laser engraving. The invention also relates to a thus obtained polymer layer composite, a security and/or valuable document comprising a polymer layer composite of said type and to a method for producing a security and/or valuable document of said type.