With poverty reduction being one of the five targets of the EU 2020 process, poverty is currently high on the agenda for the European Union and the 27 Member States. The applied methodology of measuring poverty and social exclusion (EU-SILC) calls for critical reflection, because it systematically overlooks absolute or extreme forms of poverty. Thus, the most vulnerable remain invisible. This fact poses a major challenge for future planning and the future of social policies. This article proposes an understanding of poverty as restricted access to relevant futures: a deprivation of access to possibilities and chances. Following this, we argue that "invisible" persons living in conditions of severe poverty are forced into horizons of damaged futures. Furthermore, a failure to "see" these forms of poverty has an impact on the already limited future prospects of these groups on yet another level. The most vulnerable, such as homeless children, undocumented refugees and asylum seekers, migrant beggars and other homeless people, are excluded from both analysis and social policies. This can be regarded as a second-order methodological neglect of relevant futures. Overcoming such second-order neglect is a necessary and first step towards establishing choices about relevant futures for these persons. There is a moral as well as an epistemic responsibility vis-à-vis those "invisible" groups. This is the basis for alleviating conditions of access to relevant futures. The article concludes with a plea for a "visibilization" of non-targeted and unperceived poor persons living in extreme poverty in Europe. Keywords Absolute poverty. Relative poverty. Social exclusion. Capabilities. EU-SILC. EU 2020 targets There are some who are in darkness And the others are in light And you see the ones in brightness Those in darkness drop from sight Bertolt Brecht, The Threepenny Opera This article is part of the Topical Collection on The Future of Europe, guest-edited by Markus Pausch.