Iranian President Hassan Rouhani's chief of staff, Mohammad Nahavandian, meanwhile headed to the negotiations in Vienna, in what the official IRNA news agency called a "special mission".
"Important progress has been made but questions on technical issues and the wording (of the deal) remain," Iranian Foreign Minister Mohammad Javad Zarif said on a seventh day of negotiations.
"My impression is that the political will (to get a deal) exists but that this has not yet been transmitted to the bureaucrats" working on the text, Zarif, due to meet US Secretary of State John Kerry later, told Iranian television.
"We have five days remaining... The technical work is advancing on the main text, on the appendices," a western diplomat said. "It feels like the end."
Other foreign ministers besides Zarif and Kerry were expected back in Vienna Sunday evening and to stay until Tuesday to get the job done, the diplomat said.
The P5+1 - the United States, Russia, China, Britain, France and Germany - want an accord that curbs Iran's nuclear activities so that making an atomic bomb is all but impossible.
It would end a 13-year standoff over Iran's suspect nuclear programme, and draw the curtain on almost two years of intense negotiations since Rouhani came to power in August 2013.
Russia's top negotiator Sergei Ryabkov yesterday voiced cautious optimism, saying the document both sides were working on was "91 percent" finished.
"I can't predict how many hours it will take to resolve this situation. But all parties are of the opinion that this matter will be resolved in the coming days," Ryabkov, deputy foreign minister, told Russian news agency TASS.
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