This paper examines the current rules and case law of the Court of Justice on this issue. It looks into the possibilities and limitations for indigent economically active or inactive migrant Union citizens to obtain a right to reside in another Member State and have access to social minimum benefits there. It critically analyses, in the light of inter alia the EU Charter of Fundamental Rights, the balance that the Court of Justice tried to strike in its recent judgments between the free movement rights and the Member States’ interest in limiting access to their solidarity systems. Finally, the paper intends to present some ideas and proposals on how the ambiguity between the right to free movement as a central quality of European citizenship and the restriction to it met by poor citizens could be solved, so as to guarantee the right to free movement for all, including the poor.