But this has sparked a row as the BMA has suggested the requests are “politically motivated”.
Ms Atkins promised to start talks with the BMA “in 20 minutes” if the strikes were called off.
Speaking on a visit to London Ambulance Service, she told the PA news agency: “I’ve said throughout this that, please, to the junior doctors’ committee, the moment you call off the strikes, I’ll get back around the table with you within 20 minutes.”
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She said the strikes have to be called off for negotiations to happen, “because the NHS belongs to us all”.
“It doesn’t just belong to the junior doctors’ committee, and for the 1.3 million people who work in the NHS, as well of course for the tens of millions of people it looks after, the NHS cannot be switched on and off on whim.”
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2:47
The longest strike in NHS history
However, the BMA hit back calling it a “political choice” for Downing Street to “stick rigidly to its dogma of not negotiating while strikes are planned”.
Professor Philip Banfield, BMA council chairman, said: “In the past, the government waived this principle for the barrister strikes, so there is no reason for them to waste time and money by refusing to talk now.
“We are clear: we are ready to talk 24/7. Get back around the table, give us a credible offer and we can end these strikes right now.”
The government gave junior doctors an 8.8% pay rise last summer, with an extra 3% offered during the last round of negotiations towards the end of the year.
But the BMA rejected the 3% offer, saying it does not make up for a real-term pay cut of nearly a quarter for junior doctors since 2008.
They want full pay “restoration” to reverse real-term cuts in pay since 2008-9, a new pay mechanism to prevent any future pay decreases against inflation and the cost of living, and a reformed pay review body to “safeguard recruitment and retention of junior doctors”.
More than 20 derogation requests have been submitted to the BMA for this round of strikes, but so far none have been approved.
The union said that NHS England and some trusts are refusing to provide evidence that they have undertaken steps to show they have “exhausted” all other sources of staffing before recalling medics from the picket line.
In a letter to NHS bosses, the BMA accused health leaders of misusing the system and bowing to political pressure to undermine the strike.
NHS England said they will “continue to engage with the BMA in good faith” and they will address the process for considering patient safety mitigations.
Ms Atkins, echoing Mr Sunak’s comments earlier on Thursday, said she backed NHS leaders in making the mitigation requests but this is being done “completely independent of government”.
She said the strikes are having “very serious consequences”, with 88,000 appointments cancelled during the last set in December.
Health officials have warned that this strike will be worse because it coincides with one of the busiest weeks of the calendar year, due to a rising tide of winter bugs and people storing up problems over the Christmas break.
On the first day of the strike on Tuesday, critical incidents were declared at Queen Alexandra Hospital in Portsmouth and by the NHS in Nottingham.
Meanwhile more than a dozen hospitals said that emergency services were busy, with some reporting “extreme heightened pressure”.
A teenage girl who was killed after getting out of a police car on the M5 in Somerset has been named.
Tamzin Hall, 17 and from Wellington, was hit by a vehicle that was travelling southbound between junction 24 for Bridgwater and junction 25 for Taunton shortly after 11pm on Monday.
She had exited a police vehicle that had stopped on the northbound side of the motorway while transporting her.
A mandatory referral was made to the Independent Office for Police Conduct, which is now carrying out its own investigation into what happened.
The police watchdog, the IOPC, has been asked to investigate.
In a statement, director David Ford, said: “This was a truly tragic incident and my thoughts are with Tamzin’s family and friends and everyone affected by the events of that evening.
“We are contacting her family to express our sympathies, explain our role, and set out how our investigation will progress. We will keep them fully updated as our investigation continues.”
Paramedics attended the motorway within minutes of the girl being hit but she was pronounced dead at the scene.
The motorway was closed in both directions while investigations took place. It was fully reopened shortly after 11am on Tuesday, Nationals Highways said.
A survivors group advocating for women allegedly assaulted by Mohamed al Fayed has said it is “grateful another abuser has been unmasked”, after allegations his brother Salah also participated in the abuse.
Justice for Harrods Survivors says it has “credible evidence” suggesting the sexual abuse allegedly perpetrated at Harrods and the billionaire’s properties “was not limited to Mr al Fayed himself”.
The group’s statement comes after three women told BBC News they were sexually assaulted by al Fayed’s brother, Salah.
One woman said she was raped by Mohamed al Fayed while working at Harrods.
Helen, who has waived her right to anonymity, said she then took a job working for his brother as an escape. She alleges she was drugged and sexually assaulted while working at Salah’s home on Park Lane, London.
Two other women have told the BBC they were taken to Monaco and the South of France, where Salah sexually abused them.
The Justice for Harrod Survivors representatives said: “We are proud to support the survivors of Salah Fayed’s abuse and are committed to achieving justice for them, no matter what it takes.”
The group added it “looks forward to the others on whom we have credible evidence – whether abusers themselves or enablers facilitating that abuse – being exposed in due course”.
Salah was one of the three Fayed brothers who co-owned Harrods.
The business, which was sold to Qatar Holdings when Mohamed al Fayed retired in 2010, has said it “supports the bravery of these women in coming forward”.
A statement issued by the famous store on Thursday evening continued: “We encourage these survivors to come forward and make their claims to the Harrods scheme, where they can apply for compensation, as well as support from a counselling perspective and through an independent survivor advocate.
“We also hope that they are looking at every appropriate avenue to them in their pursuit of justice, whether that be Harrods, the police or the Fayed family and estate.”
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13:55
Bianca Gascoigne speaks about Al Fayed abuse
The Justice for Harrods Survivors group previously said more than 400 people had contacted them regarding accusations about Mohamed al Fayed, who died last year.
One of those alleged to have been abused is Bianca Gascoigne, the daughter of former England player Paul.
Speaking to Sky News in October, Gascoigne said she was groomed and sexually assaulted by al Fayed when she worked at Harrods as a teenager.
Wes Streeting “crossed the line” by opposing assisted dying in public and the argument shouldn’t “come down to resources”, a Labour peer has said.
Speaking on Sky News’ Electoral Dysfunctionpodcast, Baroness Harriet Harman criticised the health secretary for revealing how he is going to vote on the matter when it comes before parliament later this month.
MPs are being given a free vote, meaning they can side with their conscience and not party lines, so the government is supposed to be staying neutral.
But Mr Streeting has made clear he will vote against legalising assisted dying, citing concerns end-of-life care is not good enough for people to make an informed choice, and that some could feel pressured into the decision to save the NHS money.
Baroness Harman said Mr Streeting has “crossed the line in two ways”.
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“He should not have said how he was going to vote, because that breaches neutrality and sends a signal,” she said.
“And secondly… he’s said the problem is that it will cost money to bring in an assisted dying measure, and therefore he will have to cut other services.
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“But paradoxically, he also said it would be a slippery slope because people will be forced to bring about their own death in order to save the NHS money. Well, it can’t be doing both things.
“It can’t be both costing the NHS money and saving the NHS money.”
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2:09
Review into assisted dying costs
Baroness Harman said the argument “should not come down to resources” as it is a “huge moral issue” affecting “only a tiny number of people”.
She added that people should not mistake Mr Streeting for being “a kind of proxy for Keir Starmer”.
“The government is genuinely neutral and all of those backbenchers, they can vote whichever way they want,” she added.
Prime Minister Sir Keir Starmer has previously expressed support for assisted dying, but it is not clear how he intends to vote on the issue or if he will make his decision public ahead of time.
The cabinet has varying views on the topic, with the likes of Justice Secretary Shabana Mahmood siding with Mr Streeting in her opposition but Energy Secretary Ed Miliband being for it.
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The Terminally Ill Adults (End of Life) Bill is being championed by Labour backbencher Kim Leadbeater, who wants to give people with six months left to live the choice to end their lives.
Under her proposals, two independent doctors must confirm a patient is eligible for assisted dying and a High Court judge must give their approval.
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2:30
Labour MP Kim Leadbeater discusses End of Life Bill
The bill will also include punishments of up to 14 years in prison for those who break the law, including coercing someone into ending their own life.
MPs will debate and vote on the legislation on 29 November, in what will be the first Commons vote on assisted dying since 2015, when the proposal was defeated.