It's possible to extradite people only following an agreement about their treatment post-extradition. For example the receiving party could agree to not further

It's possible to extradite people only following an agreement about their treatment post-extradition. For example the receiving party could agree to not further extradite them. This kind of agreement happens fairly often. A common example is extraditions to the US from EU countries. Following a 1989 decision of the European Court of Human Rights [1], EU countries cannot extradite suspects to the US if they would face the death penalty in the US. Therefore in every extradition from the EU to the US involving a potentially capital crime, the US first signs a waiver agreeing not to seek the death penalty in the case. [1] https://en.wikipedia.org/wiki/Soering_v_United_Kingdom https://en.wikipedia.org/wiki/Soering_v_United_Kingdom