I'm not so sure you can't have a JAR PPL issued in one state and a JAR CPL issued in another.
JAR-FCL.1.065(e) "An applicant shall hold only one JAR-FCL licence (Aeroplanes) and only one medical certificate at any time." You can't hold at the same time a JAR PPL and a JAR CPL issued by the same state, let alone by different states. The EASA Implementing Rules include the same provision.