This book is built upon the outcomes of the EUFam's Project, financially supported by the EU Civil Justice Programme and led by the University of Milan. Also involved are the Universities of Heidelberg, Osijek, Valencia and Verona, the MPI in Luxembourg, the Italian and Spanish Family Lawyers Associations and training academies for judges in Italy and Croatia. The book seeks to offer an exhaustive overview of the regulatory framework of private international law in family and succession matters. The book addresses current features of the Brussels IIa, Rome III, Maintenance and Succession Regulations, the 2007 Hague Protocol, the 2007 Hague Recovery Convention and new Regulations on Property Regimes.The contributions are authored by more than 30 experts in cross-border family and succession matters. They introduce social and cultural issues of cross-border families, set up the scope of all EU family and succession regulations, examine rules on jurisdiction, applicable law and recognition and enforcement regimes and focus on the current problems of EU family and succession law (lis pendens in third States, forum necessitatis, Brexit and interactions with other legal instruments). The book also contains national reports from 6 Member States and annexes of interest for both legal scholars and practitioners (policy guidelines, model clauses and protocols).