This book looks at the question of extending the reach of the Brussels Ia Regulation. The Regulation, the centerpiece of the EU framework on civil procedure, is widely recognised as one of the most successful legal instruments on judicial cooperation and its extension has long been anticipated. This examination looks at its extending to apply to defendants not domiciled in a Member State. It asks whether that extension can be justified when compared to the domestic rules of each Member State. It critically assesses the question, based on the findings of national reports. It then looks at the question from the EU perspective, the perspective of signatories to the Lugano Convention (for eg EFTA) and the wider global perspective. Private international lawyers will be keen to read the findings and conclusions, which will also be of interest to practitioners and policy makers.