JD Vance Says 'Good Progress' Was Made In U.S.-Iran Talks In SwitzerlandSpeaking to reporters in Switzerland on Monday, Vice President JD Vance said a lot of "good progress" was made in the U.S.-Iran talks over the weekend."Yesterday was a very, very good day. We made a lot of good progress," he said.You can watch his remarks here.Latest Live UpdatesVance Claims Trump's Blistering Statement Didn't Disrupt U.S.-Iran TalksVice President JD Vance said President Donald Trump’s inflammatory statements over the weekend did not disrupt talks between the U.S. and Iran, while acknowledging that there were some tense moments over the course of the negotiations.“No, they didn’t throw a wrench in the system,” Vance said of Trump’s words. “The thing with the Iranians, yes, they did threaten to walk out, or at least there were social media threats that they would walk out, but we were negotiating well past one in the morning yesterday, so they didn’t walk out.”Trump issued several threats aimed at Iran’s leadership, telling Fox News he had warned Tehran it would face consequences if it disrupted the traffic in the Strait of Hormuz.“You close it, and you won’t have a country. You won’t even make it back to your f**king country,” Trump claimed to have told Iranian leaders.Vance said that despite some tension, the two sides made good progress.“Yes, there was a little bit of threatening,” Vance continued. “There was a little bit of whining, but at the end of the day, the talks continued, and we made great progress.”Vance Says U.S.-Iran Discussions Laid 'Very Good Foundation' For Final DealVice President JD Vance said U.S.-Iran negotiations have paved the way for a "successful final deal" between the two countries, as the preliminary agreement signed by President Donald Trump last week has garnered widespread criticism."We laid a very good foundation for a successful final deal," Vance said. "The final deal is the house. We set the foundation. We haven't built the house, but we've laid a successful foundation to get to a good place for the American people."Despite the progress Vance touted, he said there's still more work to do between the two countries.Breaking UpdateFormer Federal Reserve Chair Alan Greenspan Dies At 100Alan Greenspan, the world-renowned economist who led the U.S. Federal Reserve's Board of Governors for 19 years under four different presidents, died Monday at the age of 100.His wife, NBC journalist Andrea Mitchell, announced his death via a statement on Monday.Read more here:Vance Says Iran Agreed To Allow Nuclear Inspectors Into The CountryVice President JD Vance on Monday claimed that the Iranians have agreed to allow International Atomic Energy Agency inspectors back into the country as part of negotiations with the United States.“This is probably what we’re most excited about as Americans, the Iranians have agreed to invite IAEA inspectors back into their country,” Vance said. “That is a major milestone for the American people.”Andy Burnham Says He Will Run In Leadership Contest To Succeed Keir StarmerFormer Greater Manchester Mayor Andy Burnham said he will join a Labour leadership contest to succeed outgoing party leader and British Prime Minister Keir Starmer, who announced his resignation on Monday.Starmer said he will stay on as prime minister until his successor is chosen."Keir has given huge service to our country and I want to thank him for his leadership and dedication during such a challenging period. His decision marks the beginning of a transition and it is important that this process is conducted in an orderly and responsible way. I will put myself forward as part of this process," Burnham wrote on X, formerly Twitter."The country expects stability, seriousness and a continued focus on the issues that matter most and that is what it will get," he added.Burnham is the clear favorite to succeed Starmer after defeating a Reform UK candidate in a special election in Makerfield last week. Wes Streeting, who recently resigned as U.K. health minister and had previously said he would join a potential leadership contest, declared he is throwing his support behind Burnham."We could spend the summer exaggerating small differences, or we can roll up our sleeves and help him to deliver the change our Party and our country needs. That is the choice that I am making and I hope that everyone else will back Andy, too," Streeting wrote.Keir Starmer Says He's Resigning As U.K. Prime MinisterBritish Prime Minister Keir Starmer announced his resignation on Monday morning, nearly two years after his Labour Party’s historic victory in the 2024 U.K. general election.In a speech outside Downing Street, Starmer acknowledged that he no longer had the backing of his party.“The question my party is asking now is whether I am best placed to lead us into the next general election. I have heard the answer of my parliamentary party to that question, and I accept that answer with good grace,” Starmer said."Every decision I have taken has been about putting the country I love first. That is why I will resign as leader of the Labour Party," Starmer continued, adding that he notified King Charles of his decision earlier.Red more here:U.S. And Iran Wrap Second Day Of Talks After Rough StartSenior negotiators from the U.S. and Iran on Monday wrapped up a lengthy round of initial talks aimed at solidifying a permanent end to the war between the countries.The mediation effort in Switzerland started Sunday and had rocky moments. But it also led to some agreements between the two sides.Mediators Qatar and Pakistan hailed what they called "encouraging progress" made during the talks as Iran and the United States agreed to create a "de-confliction cell" to address the fighting in Lebanon. A senior U.S. diplomat claimed progress on multiple fronts, including the establishment of "mechanisms" to ensure the Strait of Hormuz, a vital waterway for global energy shipments, remains open and that a ceasefire in southern Lebanon holds.Read more at The Associated Press:Read More From HuffPostFor previous updates from HuffPost, click here.See All Updates