As the two most powerful countries in the world, the relationship between the United States and China is the most consequential of all bilateral ties.
Any change in interactions and behaviour by either side does not just impact security, economic activity and trade in Washington and Beijing, but also affects the rest of the planet.
President Xi Jinping chose to make this point publicly as he said hello – and presumably goodbye – to Joe Biden when the two men met on the sidelines of an economic forum in Peru in what was likely their last face-to-face sit down before the US leader hands the keys to the White House over to Donald Trump.
Image: Joe Biden and Xi Jinping shaking hands in Peru earlier this week. Pic: Reuters
“As two major countries, China and the United States should bear in mind the interest of the whole world and inject more certainty and positive energy into the turbulent world,” Mr Xi said, speaking through a translator.
“It is my consistent belief that as the world’s most important bilateral relationship, a stable China-US relationship is critical not only to the interests of the Chinese and American peoples but also to the future and destiny of the entire humanity.”
Mr Biden, whose relationship with his opposite number does not just span his four years as president but also when he previously served as vice president under Barack Obama, also focused on the importance of dialogue.
“We haven’t always agreed, but our conversations have always been candid and always been frank,” he said, sitting at a long table, surrounded by aides, with Mr Xi opposite him.
“I think that’s vital. These conversations prevent miscalculations, and they ensure the competition between our two countries will not veer into conflict. Be competition, not conflict.”
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While clearly directed at him, it is doubtful that Mr Trump will heed the advice.
He has consistently criticised the Biden administration for being too soft on Beijing and has vowed to be much tougher – even saying he would impose 60% tariffs on Chinese imports.
The president-elect’s picks for top jobs in the White House, such as with China hawks Senator Marco Rubio as his desired secretary of state, and Representative Mike Walz as national security adviser, also point to a hardening in the US’ position on Beijing – which is on a trajectory to overtake Washington as the world’s number one superpower.
This moment of re-ordering in global dominance – something the UK was once forced to absorb when the sun set on the British Empire – is on course to happen regardless of who is in the White House.
But a more hostile and combative commander-in-chief in the White House makes it an increasingly perilous time for everyone.
It is perhaps why the current leaders in Beijing and Washington are so keen to stress that while their feelings towards one another go up and down, the ability to keep talking is critical.
Mr Biden was diagnosed on Friday, with tests revealing the cancer had spread to his bones.
The former president posted an image of himself and his wife Jill on X on Monday and wrote: “Cancer touches us all. Like so many of you, Jill and I have learned that we are strongest in the broken places. Thank you for lifting us up with love and support.”
Image: The King and Joe Biden at Windsor Castle in July 2023. Pic: Reuters
The King’s letter comes after British Prime Minister Sir Keir Starmer said he was “very sorry to hear President Biden has prostate cancer”.
“All the very best to Joe, his wife Jill and their family, and wishing the President swift and successful treatment,” he added.
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Meanwhile US President Donald Trump said he was “saddened” by the news, adding: “We extend our warmest and best wishes to Jill and the family, and we wish Joe a fast and successful recovery.”
Former US president Barack Obama said: “Michelle and I are thinking of the entire Biden family.
“Nobody has done more to find breakthrough treatments for cancer in all its forms than Joe, and I am certain he will fight this challenge with his trademark resolve and grace. We pray for a fast and full recovery.”
Image: Barack Obama (right) with Joe Biden at a campaign event in 2022. File pic: Reuters
After a poor debate performance against Mr Trump and amid escalating concerns around his age and fitness to serve, Mr Biden withdrew from the 2024 presidential election race and endorsed his vice president Kamala Harris.
Ms Harris wrote on X after his diagnosis: “We are keeping him, Dr. Biden, and their entire family in our hearts and prayers during this time.
“Joe is a fighter – and I know he will face this challenge with the same strength, resilience, and optimism that have always defined his life and leadership. We are hopeful for a full and speedy recovery.”
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1:16
Mr Biden’s diagnosis: What we know
Former US president Bill Clinton wrote on social media: “My friend Joe Biden’s always been a fighter. Hillary and I are rooting for him and are keeping him, Jill, and the entire family in our thoughts.”
Hillary Clinton, who unsuccessfully ran for president in 2016, said she was “thinking of the Bidens as they take on cancer, a disease they’ve done so much to try to spare other families from”.
Speaker of the US House of Representatives Mike Johnson said it was “sad news” and his family “will be joining the countless others who are praying” for Mr Biden.
Former House speaker Nancy Pelosi described Mr Biden as a “great American patriot” and said she was “praying for him to have strength and a swift recovery”.
Mr Trump’s secretary of state, Marco Rubio, wrote on social media that he and his wife were “united in prayer for the Biden Family during this difficult time”.
US President Donald Trump said he was “saddened” by the news, adding: “We extend our warmest and best wishes to Jill and the family, and we wish Joe a fast and successful recovery.”
Former US president Barack Obama said: “Michelle and I are thinking of the entire Biden family.
“Nobody has done more to find breakthrough treatments for cancer in all its forms than Joe, and I am certain he will fight this challenge with his trademark resolve and grace. We pray for a fast and full recovery.”
Image: Barack Obama (right) with Joe Biden at a campaign event in 2022. File pic: Reuters
British Prime Minister Sir Keir Starmer said he was “very sorry to hear President Biden has prostate cancer”.
“All the very best to Joe, his wife Jill and their family, and wishing the President swift and successful treatment,” he added.
After a poor debate performance against Mr Trump and amid escalating concerns for his health, Mr Biden withdrew from the 2024 election and endorsed his vice president Kamala Harris.
Ms Harris wrote on X: “We are keeping him, Dr. Biden, and their entire family in our hearts and prayers during this time.
“Joe is a fighter – and I know he will face this challenge with the same strength, resilience, and optimism that have always defined his life and leadership. We are hopeful for a full and speedy recovery.”
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1:16
Mr Biden’s diagnosis: What we know
Former US president Bill Clinton wrote on social media: “My friend Joe Biden’s always been a fighter. Hillary and I are rooting for him and are keeping him, Jill, and the entire family in our thoughts.”
Hillary Clinton, who unsuccessfully ran for president in 2016, said she was “thinking of the Bidens as they take on cancer, a disease they’ve done so much to try to spare other families from”.
Speaker of the US House Of Representatives Mike Johnson said it was “sad news” and his family “will be joining the countless others who are praying” for Mr Biden.
Former House speaker Nancy Pelosi described Mr Biden as a “great American patriot” and said she was “praying for him to have strength and a swift recovery”.
Mr Trump’s secretary of state, Marco Rubio, wrote on social media he and his wife were “united in prayer for the Biden Family during this difficult time”.
Following President Trump’s Middle East trip – which the White House is touting as an unbridled success – Sky News’ Martha Kelner sits down with Barbara Leaf, who was US ambassador to the United Arab Emirates during Trump’s first term and assistant secretary of state for Near Eastern affairs in the Biden administration.
She was also in the team that formed the first formal US presence in Syria after more than a decade.