Abstract: This article looks at the development of the UK's policies towards asylum-seekers who are to be returned to some country other than the one where they fear persecution (its ‘safe third country’ policy). The Dublin Convention of 1990 addressed some of the problems which this policy created, but left others unresolved. Domestic legislation has progressively reduced the opportunities for challenging safe third-country removals, especially to an EU state. The incorporation of the European Convention on Human Rights into UK law has generated new possibilities for challenging safe third-country decisions where removal might damage physical or mental health. Articles 3 and 8 have been invoked in particular. The Dublin machinery established ‘rules’ to decide which member state was responsible for considering the asylum claim and the procedure to be followed. The article examines why the UK courts have said that these provisions are not justiciable in the English courts. Finally the article considers whether the experience with Dublin provides any useful guidance as to the approach that will be taken to European arrest warrants and extradition requests.