The story: Several parties to the talks aimed at reviving the 2015 Iran nuclear deal have declared substantial progress. After the latest round of negotiations in Vienna, the envoys have now returned to their capitals for key consultations on what could be a fateful decision. If finalized, the deal could be a significant political win for moderate President Hassan Rouhani and Iran’s Reformist camp.

The coverage: Rouhani on May 20 stated that “the main agreement has been reached”, with sanctions targeting Iran’s central bank, oil and petrochemical exports as well as shipping and insurance due to be lifted alongside other US penalties. He added that...