This chapter looks at how the fair trial guarantees under EU law are implemented and scrutinised in civil matters. It argues that the normative and institutional framework for the implementation of these guarantees in the field of civil judicial cooperation is structurally deficient insofar as their application and assessment by domestic courts remain largely exempt from EU oversight. This deficiency is attributed to the limited scope of CJEU jurisdiction over fundamental rights. It is nevertheless suggested that recourse to Article 19(1)(2) TEU by the CJEU as a benchmark for judicial organisation may give the Court a tighter grip and enhance the quality of civil justice across the EU.