Questions also remain over whether Mr Sunak will go ahead with the economic statement due to be delivered by Jeremy Hunt on 31 October amid the market turmoil caused by Ms Truss’s tax-slashing mini-budget.
One Treasury source told Sky News’ political editor Beth Rigby it was “very possible” it will be delayed.
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Foreign Secretary James Cleverly told Sky News this morning he had not had “specific confirmation of dates”, but added: “We know it needs to come soon.”
Mr Sunak has held calls with several world leaders after being appointed PM yesterday, including US President Joe Biden and Ukraine’s Volodymyr Zelenskyy.
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The White House said Mr Biden – who had mispronounced Mr Sunak’s name during a Diwali celebration on Monday – congratulated him on his appointment.
Both leaders “reaffirmed the special relationship” between the UK and US – and “agreed on the importance of working together to support Ukraine and hold Russia accountable for its aggression”.
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Biden gets Sunak’s name wrong
And during a conversation with Mr Zelenskyy, the Ukrainian president was assured that British support for the wartorn country would be “as strong as ever” under his premiership.
In a stark contrast with his predecessor, Mr Sunak also made time to speak with Scotland’s First Minister Nicola Sturgeon, and Welsh First Minister Mark Drakeford.
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7:39
Reshuffle: How the day unfolded
A new-look cabinet
The new PM – the third this year – will hold a meeting of his new-look cabinet this morning after a raft of senior appointments yesterday afternoon.
Mr Sunak’s top team of ministers consists of allies, former Truss backers and a number of figures from the right wing of the Conservative Party.
There’s been an element of continuity with the previous administration, with Mr Cleverly kept on as foreign secretary and Ben Wallace as defence secretary.
The PM has also revived the careers of experienced frontbenchers including Dominic Raab and Michael Gove, who were sacked by Boris Johnson in the dying days of his government.
But it is Mr Sunak’s decision to reappoint Ms Braverman as home secretary – days after she dramatically quit the government for breaching the ministerial code – that has been the most controversial.
Labour have accused Mr Sunak of “putting party before country” – with shadow home secretary Yvette Cooper warning: “Our national security and public safety are too important for this kind of chaos.”
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Rishi Sunak’s in-tray
Over the coming days, Mr Sunak will begin the gruelling task of uniting the Conservatives and attempting to restore the UK’s economic credibility.
The pound hit a six-week high on Tuesday in a sign that the markets approve of the country’s new leader.
Jeremy Hunt, who is staying on as chancellor after being parachuted into the role by Ms Truss following the mini-budget, is currently due to give a fiscal statement on 31 October.
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‘Tories out’: Sunak heckled outside No 10
But according to The Times, Mr Sunak – himself a former chancellor – is considering postponing this statement so he has more time to “get under the bonnet” of the Treasury’s plans.
Mr Cleverly could not confirm a date when interviewed on Sky News, but said: “We know it needs to come soon. We know people want certainty.
“We know people want a clear idea of the government’s plans [but] whether it happens exactly on that day, I’m not able to confirm.”
The government is currently grappling with how best to plug a £40bn black hole in the country’s finances, amid reports both men will discuss proposals to increase taxes while squeezing public spending.
A Number 10 source has told Sky News that no decisions have been taken when it comes to pushing back the fiscal statement.
At least 10 people have been killed after a fire broke out at a retirement home in northern Spain in the early hours of this morning, officials have said.
A further two people were seriously injured in the blaze at the residence in the town of Villafranca de Ebro in Zaragoza, according to the Spanish news website Diario Sur.
They remain in a critical condition, while several others received treatment for smoke inhalation.
Firefighters were alerted to the blaze at the residence – the Jardines de Villafranca – at 5am (4am UK time) on Friday.
Those who were killed in the fire died from smoke inhalation, Spanish newspaper Heraldo reported.
UN climate talks are “no longer fit for purpose” and should only be hosted by countries who are trying to give up fossil fuels, veterans of the process have said.
An open letter to the United Nations, signed by former UN chief Ban Ki-moon, made a dramatic intervention in the 29th COP climate summit, under way in Baku, Azerbaijan.
Frustration over petrostate hosts – following last year’s summit in UAE – as well as the influence of fossil fuel lobbyists, prohibitive costs, and slow progress have been mounting in recent years.
The letter acknowledges the strides COPs have made on ramping up climate policies.
“But it is now clear that the COP is no longer fit for purpose,” the authors said.
“Its current structure simply cannot deliver the change at exponential speed and scale, which is essential to ensure a safe climate landing for humanity.”
The letter’s 22 signatories also include former Ireland President Mary Robinson and Christiana Figueres, former head of the UN climate body (UNFCCC) that runs the annual COP summits.
It called for the process to be streamlined and for countries to be held accountable for their promises.
Sky News analysis has found only “marginal” progress has been made since the “historic” pledge from COP28 last year to transition away from fossil fuels.
The letter also called for “strict eligibility criteria” for host countries to exclude those “who do not support the phase out/transition away from fossil energy”.
This year’s host country, petrostate Azerbaijan, has been engulfed in controversy.
Its authoritarian president Ilham Aliyev used his opening address to criticise western hypocrisy and praise oil and gas as a “gift” from God. His criticism of France, with whom relations have long been tense, drove the French minister to cancel a trip to the summit.
While the government and its COP team run separate operations, host countries are supposed to smooth over disagreements and find consensus between the almost 200 countries gathered.
COP presidencies are also nominating themselves to be climate leaders and throwing their own countries under the spotlight.
Azerbaijan is a small developing country that relies significantly on oil and gas revenues. But it has made slow progress on building out clean power – getting just 1.5% of its energy from clean sources – and led a harsh crackdown on critics in the run up to the COP.
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2:34
Azerbaijan team ‘optimistic’ about talks
In an interview with Sky News on Sunday, its lead negotiator Yalchin Rafiyev was unable to say whether Azerbaijan preferred to extract all its oil and gas or seek another, cleaner economic pathway – hard though that would be.
In a news conference yesterday, Mr Rafiyev said the president had been “quite clear” and he would not comment further.
“We have opened our doors to everybody,” he added.
Some diplomats here have hinted that Azerbaijan’s presidency team mean well but might be a little out of their depth. They have never been out in front at previous COPs, but they also only had a year to prepare for their turn hosting the mighty summit.
“My sense of this is that they’re a little underprepared, a little overwhelmed and a little bit short,” said one, speaking anonymously, as is customary for diplomats trying to maintain good relations.
“But I’m not sure that that’s politics. It might just be bandwidth and preparation and things like that.”
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1:30
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Different regions in the world take turns to host a COP. This year it was up to Eastern Europe, but the selection process took longer than usual due to tensions over Russia’s war in Ukraine and between Azerbaijan and rival Armenia.
Achim Steiner of the UN Development Programme, called it “troubling” that some countries face questions over their host roles.
“Are there countries that are by definition good hosts and others are bad hosts?” he asked.
“In the United Nations, we maintain the principle of every nation, first of all, should have a right to be heard.
“Labels are not always the fairest way of describing a nation. Some of the largest oil producers have hosted this COP in the past, and seemingly this seemed to be a perfectly acceptable phenomenon.”
COP stands for “conference of the parties” and refers to countries (“parties”) who have signed the underlying climate treaty.
Azerbaijan’s COP29 team and the UN’s climate body have been contacted with a request to comment.
A body has been recovered from a South African mine after police cut off basic supplies in an effort to force around 4,000 illegal miners to resurface.
The body has emerged from the closed gold mine in the northwest town of Stilfontein a day after South Africa’s government said it would not help the illegal miners.
Around 20 people have surfaced from the mineshaft this week as police wait nearby to arrest all those appearing from underground.
It comes a day after a cabinet minister said the government was trying to “smoke them [the miners] out”.
The move is part of the police’s “Close the Hole” operation, whereby officers cut off supplies of food, water and other basic necessities to get those who have entered illegally to come out.
Local reports suggest the supply routes were cut off at the mine around two months ago, with relatives of the miners seen in the area as the stand-off continues.
A decomposed body was brought up on Thursday, with pathologists on the scene, police spokesperson Athlenda Mathe said.
It comes after South African cabinet minister Khumbudzo Ntshavheni told reporters on Wednesday that the government would not send any help to the illegal miners, known in the country as zama zamas, because they are involved in a criminal act.
“We are not sending help to criminals. We are going to smoke them out. They will come out. Criminals are not to be helped; criminals are to be prosecuted. We didn’t send them there,” Ms Ntshavheni said.
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Senior police and defence officials are expected to visit the area on Friday to “reinforce the government’s commitment to bringing this operation to a safe and lawful conclusion”, according to a media advisory from the police.
In the last few weeks, over 1,000 miners have surfaced at various mines in South Africa’s North West province, where police have cut off supplies.
Many of the miners were reported to be weak, hungry and sickly after going for weeks without basic supplies.
Illegal mining remains common in South Africa’s old gold-mining areas, with miners going into closed shafts to dig for any possible remaining deposits.
The illegal miners are often from neighbouring countries, and police say the illegal operations involve larger syndicates that employ the miners.
Their presence in closed mines has also created problems with nearby communities, which complain that the illegal miners commit crimes ranging from robberies to rape.
Illegal mining groups are known to be heavily armed and disputes between rival groups sometimes result in fatal confrontations.