This article discusses the Europeanisation of enforcement by DPAs. The GDPR increases the European dimension of the DPAs' task and introduces a one stop shop mechanism with a lead DPA and a consistency mechanism. These changes aim at creating a level playing field, whilst respecting powers of national authorities. The article shows that it is not easy to reconcile these two purposes and that the relevant provisions of the GDPR are ambiguous. Much will depend on how the cooperation mechanisms of DPAs will be put into practice. The article suggests that the EDPB adopts guidelines to stimulate the DPAs to use the cooperation mechanisms in a proactive manner.