'No new ideas'On Saturday Mr Kerry said: "We're working hard. We hope we're making careful progress, but we have big gaps (...) which we're working to close."
German Foreign Minister Frank-Walter Steinmeier called the negotiations so far "constructive", but added: "That must not mask the fact that there is still a big gap between us in many aspects."
One European source told the AFP news agency that it was now "physically impossible" to reach a full deal in the remaining timeframe. Another anonymous official told Reuters: "Our feeling is that [Iran's negotiators] don't have a lot of flexibility."
However, an Iranian source told the BBC that they remained confident a complete deal was still possible, suggesting the deadline could be extended by a couple of days.
The P5+1 group and Iran reached an interim agreement a year ago. But the two sides failed to reach a lasting deal by July, as initially agreed, and extended the deadline until 24 November.
After meeting Mr Kerry on Friday evening, Mr Zarif said he heard "no new ideas" and had received "no remarkable proposals to take to Tehran".
Iran has been resisting efforts to scale back its nuclear programme for nearly a decade.
Separately, the international nuclear watchdog, the International Atomic Energy Agency (IAEA), is calling on Iran to address its concerns about suspicious military activities that could be linked to a nuclear weapons programme.
On Friday, a senior Iranian official told the BBC the team was expecting to reach an outline of a deal by the deadline and then spend the following seven-to-10 days working on the implementation of it at expert level.