The uncertainty that the Covid-19 outbreak has brought to every sphere of life has had a major impact on already vulnerable groups, such as undocumented migrants. People who, for whatever reason, lack official authorisation to stay, live and work in a particular state usually live with constant fear of being detained or receiving an expulsion order after a spontaneous stop by the police. Among the different measures approved by European countries under states of emergency, some have addressed the situation of migrant populations. This article looks at the cases of Portugal, Italy and Spain, which have been praised by the general public for appearing to offer regularisation, or an end to detention. However, the positive tone - probably exacerbated by the need for good news - has set aside details that suggest a less optimistic outcome.