The government and the doctors' union have agreed to continue negotiating until Wednesday.
The talks, hosted by conciliation service Acas, which started on Monday are seen as the last chance for the two sides to agree a deal.
They were set up following a series of strikes and included the first-ever full walk-out by doctors.
It comes after the government announced in February it would be imposing the contract from this summer after previous talks failed.
Discussions first started in 2012, but broke down in 2014, before Acas hosted talks at the turn of this year.
The main focus of this week's talks have been on Saturday pay, although the British Medical Association (BMA) team has also been raising other issues, including funding the government's seven-day NHS policy.
If these talks fail, the government has indicated it will push ahead with the imposition of the contract.
Hospitals are due to start sending out contracts for positions from the end of this month.
These will be for those medics graduating from medical school, but over the course of the next 12 months much of the rest of the 55,000-strong workforce will be moved on to the new terms and conditions.
Ministers have argued the new contract, which makes it cheaper to rota junior doctors at weekends, is needed to improve care.
Acas chair Sir Brendan Barber said the talks had been conducted in a "constructive and positive atmosphere" and some real progress had been made.
"This is a strictly time limited extension and represents a final opportunity to find an agreement as the basis for the resolution of this difficult dispute."
He said neither the BMA or government would be making any statement.
When it entered the talks, the government agreed to put imposition of the contract on hold, while the doctors' union suspended its threat of further industrial action.
Under the terms of the new contract, basic pay is to be increased by 13.5% on average, but other elements of the pay package are to be curbed, including what constitutes unsociable hours.
Day hours on a Saturday will be paid at a normal rate, while extra premiums that are being offered for the rest of the weekend are lower than what is currently paid.
As a result of the dispute between the government and the BMA, there were four strikes by junior doctors in England affecting routine - but not urgent care - between January and early April.
At the end of April there were two one-day strikes affecting all forms of care, including emergencies - the first such action in the history of the NHS.
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After 25 years, the Royal National Mission to Deep Sea Fishermen closed its doors in Eyemouth in 2012.
Now the former granary building is being turned into an arts centre, run by a community interest company.
Once the ground floor alterations are complete, it is hoped the venue - the brainchild of artist Paula Tod, and her husband Ian - will open in June.
The first theatre performance - A Cinema in South Georgia - will tell the story of Eyemouth's whaling pioneers in the South Atlantic.
The Hippodrome will also contain a cafe selling local whole foods and was last week granted an alcohol licence.
All of the programme details should soon be available on a website and Facebook.

The Australian, 21, beat world number 29 Querrey 6-4 6-4 in 53 minutes to progress to the second round.
Kyrgios, ranked a career-high 12th in the world, won the Japan Open on Sunday and is closing in on the top 10.
"I was just a bit bored at times," said Kyrgios, when asked why he was not his usual vocal self against Querrey.
"I was feeling very tired. It was just tough. I'm just tired so maybe I just wanted to get the job done."
Kyrgios said his success in Japan, and the travelling involved in playing at the Qi Zhong Stadium, an hour from Shanghai city centre, had taken its toll.
"I didn't have the greatest sleep last night and obviously got in late the day before," he said. "The ride to the courts isn't great either."
It was at the Shanghai Masters last year that Kyrgios was fined $1,500 (£984) for a foul-mouthed outburst, describing the tournament a "circus".
Last ditch talks to reach a deal on the junior doctors contract in England are being extended into next week.
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A former fishermen's mission in the Scottish Borders is being converted into an arts and performance centre.
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Nick Kyrgios said he was "bored" as he extended his unbeaten run to six matches with victory over Sam Querrey at the Shanghai Masters.