And with relations back nearing Cold War levels (they had both conceded as much) a tête-à-tête was needed.
Given the state of things and the context of the unpredictable diplomacy of Donald Trump, the possibility of a diplomatic incident was there.
Indeed when news filtered out that there had just been two sessions, not the three that were planned, and that the meetings had ended ahead of schedule, we wondered: Was this a sign that talks had broken down?
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We were hastily called into the first of the two news conferences – the Russian one.
Mr Putin’s foreign minister Sergey Lavrov arrived in the room, a sign that his boss would soon follow. Did he look downbeat, angry? I couldn’t tell.
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But then President Putin took to the podium.
Within moments he had announced the nations’ respective ambassadors would be reinstalled in their host capitals.
This represents the beginning at least of the resumption of the mechanics of diplomacy. An achievement.
Then came further positive language.
Mr Putin’s “overall assessment” was that there was “no hostility”.
“On the contrary, our meeting took place in a constructive spirit. Both sides expressed intention to understand each other,” Mr Putin said.
On cyber security, he said: “We agreed on consultations in this respect.”
They may just be words but they are valuable in a relationship so strained.
The Russian president revealed the two leaders talked about their families. “It shows his qualities and moral values,” the translator quoted Mr Putin as saying.
There were clearly more tense exchanges in their meetings. Mr Biden had, the Russian president revealed, brought up human rights and the case of opposition leader Alexei Navalny.
Here, Mr Putin deflected, with a spot of ‘whataboutism’, drawing comparisons with the jailed protesters from the January storming of the US Capitol in Washington DC and the enduring existence of the Guantanamo Bay detention centre.
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No hostility with Biden meeting – Putin
President Biden watched all this on screens from another corner of the park on the shores of Lake Geneva before taking to his own podium.
And again, the language was positive.
It wasn’t, Mr Biden said, a “kumbaya moment”. No hugging or anything but “when was the last time two heads of state talked for two hours?”
There is, he said “no substitute for face-to-face dialogue. We share a responsibility between two strong and powerful countries. I told him I am not against Russia or anyone else. I’m for the American people”.
He said he had delivered three key points. First, practical measures to advance mutual interests, second, the importance of communication, and third, the ability to lay out US values.
The “tone was good”. The talks were “positive”. There “wasn’t any strident action taken… Where we disagreed we stated it”. Nothing was done in a “hyperbolic way”.
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‘I don’t think he’s looking for a Cold War’
But neither leader was remotely effusive. After all, their world views are profoundly different and there was never any expectation that would change with this meeting.
It was about creating a more stable, predictable relationship where they can at least understand and control their disagreements as well as the fallout.
“This is not about trust. This is about self interest and verification of self interest,” Mr Biden said.
They had always played down this meeting as just the first stage of rebuilding dialogue.
And it was precisely that. There was no Trump-style drama, no diplomatic moments.
A little dull then, but that’s no bad thing for a relationship which can be so perilous.
US president-elect Donald Trump has refused to rule out military or economic action to seize the Panama Canal and Greenland – as he said he believes NATO spending should be increased to 5% per member state.
Speaking at Mar-a-Lago, Florida, Mr Trump made a series of sweeping claims on what his policies could look like when he takes office on 20 January.
He said he believes NATO spending should be increased to 5% per member state, while he also declared US control of Greenland and the Panama Canal as vital to American national security.
The 78-year-old Republican also spoke of relations with Canada, as well as addressing his position on the Middle East and the war in Ukraine.
Sky News takes a look at some of the key claims brought up during the conference.
NATO
Mr Trump claimed “nobody knows more about NATO than I do”, before adding: “If it weren’t for me, NATO wouldn’t exist right now.
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“I raised from countries that weren’t paying their bills, over $680bn. I saved NATO, but NATO is taking advantage of us.”
The president-elect also said members of NATOshould be contributing 5% of their GDPs (gross domestic product) to defence spending – the previous target has been 2%.
Greenland and Panama Canal
Asked if he can reassure the world he won’t resort to military action or economic coercion in trying to get control of the areas, he said: “No, I can’t assure you on either of those two.”
“But, I can say this, we need them for economic security.”
He didn’t add any further detail around Greenland – which he has recently suggested the US should own or control – but he said the Panama Canal “was built for our military”.
He said the canal was “vital” to the country and China was “operating” it.
Mr Trump criticised the late Jimmy Carter for his role in signing over the Panama Canal to Panama during his presidency, saying it’s “a disgrace what took place” and “Jimmy Carter gave it to them for one dollar.”
Canada
A day after Canadian Prime Minister Justin Trudeau announced he was stepping down, Mr Trump said he believed the US’ northern neighbour should become the 51st US state.
He mocked Mr Trudeau by calling him “governor” rather than prime minister.
He argued the US and Canada combined would amount to an “economic force” that would “really be something”.
“There isn’t a snowball’s chance in hell that Canada would become part of the United States,” Mr Trudeau responded.
Israel-Hamas war
Israel has been waging a 15-month war on the militant group ruling Gaza, Hamas, since they launched an unprecedented attack on southern Israel on 7 October which saw 1,200 people massacred and about 250 taken hostage, many of whom remain in captivity.
Mr Trump said: “If those hostages aren’t back by the time I get into office, all hell will break out in the Middle East.”
Nearly 46,000 Palestinians have been killed in Israel’s assault on Gaza, according to Hamas-run health officials in the enclave.
Referring to Russia’s ongoing full-scale war against its smaller neighbour, Mr Trump said a “big part of the problem” was Russian President Vladimir Putin had said for many years he did not want Ukraine involved with NATO.
“Somewhere along the line [outgoing President Joe] Biden said you can join NATO,” he said.
“Well, then Russia has NATO right on their doorstep.
“When I heard the way Biden was negotiating I said ‘you are going to end up in a war’ and it turned out to be a war.”
Asked if he would commit to keep supporting Ukraine during negotiations with Moscow, Mr Trump quipped: “Well, I wouldn’t tell you if that were the case.”
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Firefighters in California are battling a fast-moving wildfire which is sweeping an exclusive Los Angeles hillside dotted with celebrity homes.
Officials say the wildfire is being fanned by gusts from a “life-threatening” and “destructive” wind storm that is battering southern California.
Fire crews are battling a handful of small blazes in the Los Angeles area, including in the foothills of the Pacific Palisades, between Santa Monica and Malibu.
Around 30,000 residents have been ordered to evacuate.
The smoke cloud from the flames is so high, it can be seen from LA’s famous Venice Beach, more than six miles away.
Actor James Woods has shared footage of flames burning through bushes and past palm trees on a hill near his Pacific Palisades home.
Meanwhile, actor Steve Guttenberg, who also lives in the area, has been helping to move parked cars to make way for fire engines.
“This is not a parking lot,” he told local media.
“I have friends up there and they can’t evacuate… I’m walking up there as far as I can moving cars.”
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0:33
Wildfire reaches California houses
Kristin Crowley, fire chief of the Los Angeles Fire Department, said the area was experiencing “extreme fire weather conditions” and that more than 250 firefighters were currently attempting to battle the blaze.
She said the fire was initially reported as a 10-acre fire, but, fanned by 40mph winds, had since spread to more than 1,200 acres “and growing”.
Ms Crowley added that the job of firefighters in tackling the blaze was being made “extremely challenging” due to “strong winds and surrounding topography”.
This breaking news story is being updated and more details will be published shortly.
A soldier who exploded a Tesla Cybertruck outside the Trump hotel in Las Vegas used generative AI – including ChatGPT – to help plan the attack, police have said.
Police in Las Vegas say they have now reviewed Livelsberger’s ChatGPT searches prior to the explosion.
According to officers, the searches indicate he was looking for information on explosive targets, the speed at which certain rounds of ammunition would travel, and whether fireworks were legal in Arizona.
Kevin McMahill, sheriff of the Las Vegas Metropolitan Police Department, called Livelsberger’s use of generative AI in planning the attack a “game changer”.
“This is the first incident that I’m aware of on US soil where ChatGPT is utilised to help an individual build a particular device,” he said.
The notes touched on political grievances, societal problems and domestic and international issues, including the war in Ukraine.
However, according to officials, Livelsberger harboured no ill will toward president-elect Donald Trump and in one of the notes he left, he said the country needed to “rally around” him and Tesla boss Elon Musk.
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0:59
What was inside exploded Cybertruck?
He also left mobile phone notes saying he needed to “cleanse” his mind “of the brothers I’ve lost and relieve myself of the burden of the lives I took”.
The FBI said Livelsberger, who had served in the army since 2006 and was deployed twice to Afghanistan, likely suffered from post-traumatic stress disorder (PTSD) and that there were “potential other family issues or personal grievances in his own life” that may have been “contributing factors”.
Authorities said that Livelsberger, from Colorado Springs, Colorado, acted alone and that the incident appeared likely to be a “tragic case of suicide”.
The explosion caused minor injuries to seven people but virtually no damage to the Trump International Hotel.
Anyone feeling emotionally distressed or suicidal can call Samaritans for help on 116 123 or email jo@samaritans.org in the UK. In the US, call the Samaritans branch in your area or 1 (800) 273-TALK.