Despite a warning from US Secretary of State John Kerry that he would not sit at the negotiating table forever, an Iranian official told AFP the talks, now entering their third week, could stretch on and on.
"We have no time-limit in order to reach a good deal," the senior Iranian official said, asked if the negotiations could be formally extended again in a bid to end the current deadlock.
After a very public blame game about the reasons behind the stalemate, Kerry yesterday had offered a glimmer of hope that some progress may be being made saying some outstanding issues had been resolved.
But the top US diplomat emerged from almost 90 minutes of fresh talks today morning with his Iranian counterpart Mohammad Javad Zarif and almost immediately tweeted that things remained tough.
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"Met with @FedericaMog and @JZarif this AM. Still have difficult issues to resolve," he said in his Tweet.
France's Foreign Minister Laurent Fabius also arrived back in the Austrian capital today to rejoin Germany's Frank-Walter Steinmeier, while their British counterpart was expected back too. It remained unclear when the Russian and Chinese foreign ministers would return to the city.
With many politicians on both sides of the Atlantic openly questioning whether it was time to walk away, Mogherini tweeted her thanks to the Austrian people for their "prolonged hospitality.
The toughest problems have been left to last, including a mechanism for lifting interlocking EU, US and UN sanctions, as well as ways to ensure Iran can have a peaceful nuclear programme for its own energy needs.