Brazil's left-wing incumbent President Lula da Silva has won a record fourth term in office.The 80-year-old won a dramatic run-off victory against right-wing challenger Flavio Bolsonaro, who has refused to concede defeat. We'll be discussing how the result has gone down in a divided country.Also in the programme: Serbia's long-standing leader Aleksandar Vucic has admitted defeat to a student-led protest movement in snap parliamentary elections; with elections tomorrow in Israel, we hear from an opposition politician; and why eating the Australian spread Vegemite isn't a human right.(Brazil's President Luiz Inacio Lula da Silva celebrating after victory in the presidential runoff election, at Paulista Avenue, in Sao Paulo, Brazil on 26 October 2026. Credit: Amanda Perobelli/Reuters)

President Luiz Inácio Lula da Silva claimed public transport had been disrupted in some cities, while his opponent Flávio Bolsonaro's campaign claimed bad weather affected voters in a number of locations.The vote will now close two hours after they were originally scheduled to, but Supreme Court minister Cristiano Zanin says this only applies at polls where voting has not yet been finalised.Also on the programme: Aleksander Vucic - who has held a grip on power in Serbia for fourteen years - has admitted defeat in the general election; the Venezuelan opposition leader, Maria Corina Machado has returned to the country after almost a year in exile; and we hear from one of the scientists have finally figured out why Roman glass buried for 2,000 years changes colour when light shines on it.(Photo: People attend the voting at a polling station during the Brazilian presidential runoff election, on the outskirts of Brasilia, Brazil on October 25, 2026. Credit: REUTERS/Diego Herculano)

We go to the West Bank city of Hebron where an Israeli military operation is underway. Residents are wondering what difference the Israeli elections on Tuesday might make. We also speak to an advisor to Israeli Prime Minister Benjamin Netanyahu.Also in the programme: Brazilians vote in a pivotal presidential run-off; and is the British Prime Minister Andy Burhnam opening a debate about the UK's possible membership of the EU?(Photo: Palestinians cross on foot past a military gate at an entrance to the West Bank city of Hebron, 25 October 2026, as the Israeli military enforced a closure on the city and surrounding villages for a third consecutive day. Credit: Atef Safadi, EPA/Shutterstock)

For a second week running, France has taken to the streets in protest about the cost of living. Most marches were peaceful but nearly one thousand people have been arrested and two have been seriously injured. Most clashes came as police dispersed crowds, including with teargas and water cannon. We hear from our Paris correspondent and a young French content creator.Also in the programme: a former Confucius Institute Director reacts to the US designation of China's cultural centres as threats to national security. And Hitler's former mountaintop retreat is gutted by fire.(Picture: A masked protester wearing a French flag throws a tear gas sub-munition amid clashes with French police during an authorised demonstration organised by labour unions in Paris as part of nationwide protests called by the "Yellow Vests" movement joined by French high school and university students against the cost of living and rising fuel prices, in France, October 24, 2026. Credit: Reuters)

Israel has been bulldozing Palestinian homes in Hebron in the occupied West Bank, where two Israeli soldiers were killed on Friday. Local sources say about 250 families have been forcibly removed from their homes in the city. Earlier Israel announced a major military operation had begun in Hebron. The Prime Minister, Benjamin Netanyahu, promised to destroy the neighbourhood where the gunmen involved came from. Also in the programme: Protests start across France as authorities try to prevent a repeat of last weekend's looting and violence; and Back to Black at 20: we hear from some of those who worked on singer Amy Winehouse's award-winning album.(Photo: Debris at the site of a shooting on Friday, after Israeli forces demolished Palestinian businesses in Hebron, in the Israeli-occupied West Bank, October 24, 2026. Credit: Reuters/Mussa Qawasma)

The Israeli military has begun demolishing Palestinian buildings in the city of Herbon, following the killing of two Israeli soldiers in an attack by two Palestinian gunmen. Israeli Prime Minister Benjamin Netanuahu has pledged to “destroy” the neighbourhood where the two attackers came from. We hear from a Palestinian resident who lives in the area.Also in the programme: the White House says that US First Lady Melania Trump has secured a ceasefire in the Russian-occupied Ukrainian city of Olesky; and we hear from a man who witnessed the Hungarian Revolution, which began 70 years ago today. (Photo: Israeli machinery demolishes a Palestinian house following a shooting attack, in Hebron in the Israeli-occupied West Bank, 23rd October, 2026. Credit: REUTERS/Mussa Qawasma)

The founder of India's Cockroach Janta Party Abhijeet Dipke speaks to Newshour, saying "brute force" should not be used against India's youth. He tells us Prime Minister Modi feels threatened by the student-led movement. Also in the programme: The BBC has found evidence that the Rapid Support Forces in Sudan systematically destroyed healthcare infrastructure during the paramilitary group's brutal campaign to capture the city of El Fasher; and treadmill or dreadmill... would you compete in a race to be a treadmill champion? (Photo: Abhijeet Dipke's youth-led Cockroach Janta Party (CJP) has drawn thousands onto the streets in recent months. Credit: Getty Images)

The discovery of two critical vulnerabilities in PHP, the programming language that underpins much of the internet, has led to governments and businesses taking down their websites to prevent hacks. We hear from the security engineer in residence for the organisation behind PHP, the PHP Foundation. Also on the programme: next week Israelis will go to the polls in the first elections since the October 7th attacks, but how do the country’s Palestinian citizens feel about the vote? And we ask whether a celebrated Scottish museum was right to withdraw an ancient Egyptian mummified head from display. (Picture: "Security Vulnerability" phrase and PHP code appears in this illustration taken October 22, 2026. Credit: REUTERS/Dado Ruvic/Illustration)

Ukraine's capital has come under a new missile attack, hours after Russia said it was "ready in principle" to resume peace talks and the US president said the world was "the closest we've been" to ending the war.Also on the programme, could Arab Israelis hold the balance of power in a new Israeli government? And why the iconic horses and carriages will be banned in the New York.(Photo: Aftermath of overnight Russian ballistic missiles attack in Kyiv, Ukraine, 22 Oct 2026. Credit: Maxym Marusenko EPA/Shutterstock)

The United States and Russia say they are ready to resume three-way peace talks with Ukraine. Earlier, Russia freed Stephen Hubbard, a retired US schoolteacher, who had been held in custody since 2022. We speak to Mr Hubbard's American lawyer, Martin De Luca.Also on the programme: the head of the Africa Centres for Disease Control has urged countries to share information about Nigeria’s first confirmed case of Ebola; and we hear from one of France's leading public intellectuals, Edouard Louis, on the wider reasons behind the country's demonstrations. (US President Donald Trump's special envoy Steve Witkoff arrives in Saint Petersburg Credit: Reuters)