Asylum is within the jurisdiction of the European Union, which, for example established minimum standards for the asylum process in 2004. These rights can and h

Asylum is within the jurisdiction of the European Union, which, for example established minimum standards for the asylum process in 2004. These rights can and have been held up by the courts. In this regard, the European Union has created the law that "offers people asylum" even if the executive individual decisions are left to the member states. There's also the Dublin Agreement which (even if it's falling apart right now for practical reasons) is in principle applicable, binding law. So, no, the EU isn't going grant Snowden asylum. But it is certainly a major player in refugee law.