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Donald Trump has sought to downplay his public spat with Elon Musk, which erupted days after he left the president's administration. In an interview after hours of sparring, Mr Trump said things were 'going very well'. White House aides are reported to have arranged a call between the two men to broker a peace.Also, we'll talk to the Danish politician who wants the European Union to ban children under the age of 15 from accessing social media.And Jane Birkin’s original Hermès bag to go on sale in Paris. (Photo credit: Reuters)

Donald Trump and Elon Musk are having a furious and personal public row -- just a week after Mr Musk left the White House -- while Chancellor Merz of Germany is visiting the US. Also in the programme: Israel confirms arming Palestinian clans in Gaza; and Hollywood actor turned crypto critic Ben McKenzie.(Picture: President Donald Trump and Elon Musk attend a press conference in the Oval Office of the White House in Washington, D.C., U.S., May 30, 2025. Credit: Reuters)

Those banned include people from Afghanistan, Myanmar, Chad, Haiti and Sudan. Citizens from another seven countries face travel restrictions. President Trump said the new rules were designed to protect Americans from dangerous foreign actors and to stop people overstaying their visas. We hear from Republican Congressman Clay Higgins, who supports the move, and ask American law professor Barbara McQuade about its rationale and legality. Also in the programme: as the bodies of two more hostages are recovered by the Israeli military in Gaza, we speak to the father of one hostage whose whereabouts are still unknown. And some new research that offers a glimmer of hope for an eventual cure for HIV.(Photo: President Trump speaks during a Summer soiree at the White House in Washington, DC, on 4 June 2025. Credit: Eric Lee/POOL/EPA-EFE/Shutterstock)

The US vet a UN Security Council draft resolution that demanded an immediate and unconditional ceasefire in the Gaza Strip. The meeting of ambassadors at the UN comes on the day the head of the International Committee of the Red Cross called the situation in the Gaza strip "worse than hell on earth".Donald Trump says he's had another phone conversation with Russia's president Putin about the war in Ukraine. During the call Mr Trump said the Russian president told him that Moscow would retaliate after Ukraine attacked Russian war planes over the weekend.Also on the programme, Astronomers say they've discovered a big new planet, which is unusually orbiting round a very small star. The physicist who discovered the planet joins us.And, the American novelist, Edmund White, famous for chronicling gay life in the US - has died at the age of 85.We are joined by Damian Barr, Scottish Writer and broadcaster, who shares his memories of meeting White.Presenter: Paul Henley (Photo: Smoke rises from Gaza after an explosion, as seen from Israel, 4 June, 2025. Reuters/Amir Cohen)

The head of the International Red Cross has told the BBC that what's happening in Gaza has crossed any acceptable legal or moral standard.Mirjana Spoljari? said that the situation "should shock our collective conscience". Her comments come after dozens of Palestinians were killed near new aid distribution centres. A prominent US-Israeli businessman with long experience of humanitarian missions tells us what's gone wrong with the roll-out of aid by the Gaza Humanitarian Foundation.Also in the programme: Six months after a botched military coup, South Korea has a new president; and we'll hear howpoverty is driving men from Lesotho to the illegal mines of neioghbouring South Africa.(Photo shows people carrying aid supplies which they received from the U.S.-backed Gaza Humanitarian Foundation, in Rafah, southern Gaza Strip on 3 June 2025. Credit: Reuters TV)

The Israeli military says it's to investigate the reported killing on Tuesday of 27 Palestinians near a US-backed aid distribution centre in Gaza. A government spokesman David Mencer earlier denied that Israeli forces had targeted civilians. Israel has also denied shooting Palestinians at the same site on Sunday. We speak to an advisor to the Israeli Prime Minister, Benyamin Netanyahu.Also in the programme: The opposition candidate in South Korea's presidential election celebrates a landslide win; and an award-winning writer on artificial intelligence urges scientists to contemplate a time when humans will no longer be the smartest ones on the planet.(Photo: Mourners react at the funeral of Palestinians killed, in what the Gaza Health Ministry says was Israeli fire near a distribution site in Rafah, at Nasser hospital in Khan Younis, in the southern Gaza Strip, June 3, 2025. Reuters/Hatem Khaled)

Health officials in Gaza say at least 27 people have been killed near one of the controversial new aid distribution centres - the third reported incident in three days. The Israeli military says they fired 'warning shots'; medics say they are dealing with a range of injuries. Also on the programme: the mother of a political prisoner still being held in an Egyptian prison eight months after his sentence ended tells us why she's on hunger strike in protest; and South Koreans have been choosing their next president after former President Yoon Suk Yeol's impeachment over his failed martial law bid. (Photo: A mourner reacts during the funeral of Palestinians killed, in what the Gaza health ministry say was Israeli fire near a distribution site in Rafah, at Nasser hospital in Khan Younis, in the southern Gaza Strip, June 3, 2025. Credit: Reuters)

The UN Secretary-General, Antonio Guterres, has called for an independent investigation into the reported killing on Sunday of at least thirty-one Palestinians near a US-backed aid distribution centre in Gaza. Israel denied that their forces fired at people near the site. UN human rights chief, Volker Turk, tells us the incident shows Israel's disregard for Palestinian civilians. Also in the programme: Russia stands by its hard line demands at ceasefire talks in Istanbul, and the French parliament votes to posthumously promote Alfred Dreyfus, in an attempt to right one of histories most infamous anti-Semitic scandals(Picture: Palestinians who were killed in the Israeli army attacks near the American aid center in Rafah and the Muin area and Salahaddin Street in the east of Khan Yunis are being sent to their last journeys by their relatives at Nasser Medical Center in Khan Yunis city, Gaza on June 2, 2025. Photo by Abed Rahim Khatib/Anadolu via Getty Images)

Right-wing historian Karol Nawrocki has narrowly won Poland's presidential election, in what is a blow to the governing centrist coalition.Mr Nawrocki - who is backed by the main opposition Law and Justice party - will wield a powerful veto over policy - so what does it mean for the pro-EU government led by former European Council president Donald Tusk?Also in the programme: What exactly caused the "mass casualty" event at an aid station in Gaza?; and positive news on colon cancer recovery, as research shows survival rates are boosted by a third - just by regular exercise.(Photo shows Polish presidential candidate Karol Nawrocki reacts to the results of the second round of the presidential election, in Warsaw, Poland, June 1, 2025. Credit: Aleksandra Szmigiel/Reuters

In one of its biggest operations of the kind, Ukraine has used drones to hit dozens of Russian strategic bombers. The drones took off from inside Russia, hitting targets in Murmansk in the Arctic and Irkutsk in Siberia, as well as two airfields closer to Moscow. Also in the programme: Medics in Gaza say they've treated dozens of casualties, amid conflicting reports of an Israeli attack near an aid distribution centre; Mexicans are voting in the first election to choose the entire judiciary - from magistrates to Supreme Court judges - by direct vote; and ABBA honours sound engineer, Michael Tretow, who has died at the age of 80.