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xtradition is usually pursued or granted on the basis of bilateral or multilateral treaties. The instrument most often used (at the non-EU level) is the 1957 European Convention on Extradition (Law 4165/1961), which has been entered into not only by the Member States of the Council of Europe but also by third countries, such as Israel, Korea and South Africa. Other multilateral treaties which could form the basis for extradition are the UN Convention against Corruption (UNCAC - Law 3666/2008) and the UN Convention against Transnational Organized Crime (UNTOC - Law 3875/2010). Bilateral treaties have been signed with 14 non-EU States, including the USA, Australia, Brazil and Mexico. Basic rules on extradition are also contained in Arts 436-456 of the Code of Criminal Procedure (CCP), which apply complementarily to bilateral and multilateral conventions on issues not covered thereby.
Moreover, Law 3251/2004 gives effect to Council Framework Decision 2002/584/JHA on the European Arrest Warrant and the surrender procedures between EU member States.
Greece does not make extradition conditional on the existence of a treaty. If there is no bilateral agreement or convention in place, Greece applies the principle of reciprocity.
http://www.greeklawdigest.gr/topics/judicial-system/item/212-extradition-international-cooperation-and-cross-border-crime