The first full day of US-Iran talks in Switzerland ended with Washington and Tehran offering different details on what they agreed to, particularly on the issue of international oversight of Iran’s nuclear program.Speaking after the initial round of talks at the Bergenstock resort in Switzerland, US Vice President JD Vance said Iran has agreed to allow International Atomic Energy Agency (IAEA) inspectors back into the country.“The Iranians have agreed to invite IAEA inspectors back to their country,” Vance told reporters, according to AFP.“This is a major milestone for the American people and the first step toward permanent disarmament or eliminating the nuclear weapons program in Iran,” he said.Vance also sounded optimistic about the negotiations, saying, “We laid a very good foundation for a successful final deal.”The talks marked the beginning of a two-month negotiation period outlined in a preliminary agreement reached last week. Mediators Pakistan and Qatar said negotiators had agreed on “a roadmap towards reaching a final agreement within 60 days”, with technical discussions continuing throughout the week.US President Donald Trump echoed Vance’s comments, writing on Truth Social that Iran would agree to inspections aimed at ensuring ‘nuclear integrity’.Trump later told reporters: “If Iran doesn’t live up to their agreements, or if they’re not behaving, I’ll do whatever I have to do.”However, Iran publicly denied the suggestion that any such commitment had been made.Iranian Foreign Ministry spokesman Esmail Baghai told the official IRNA news agency that Iran had not yet discussed nuclear issues during the talks and made no new commitments on the matter.According to IRNA, Baghai said that negotiations on the nuclear issue have not yet begun, which directly contradicts the US description of the discussions.He also said that Iran’s negotiations with the IAEA will continue in accordance with existing procedures, subject to the approval of Iran’s Parliament and decisions of the Supreme National Security Council.This dispute has come against the backdrop of long-running tensions over Iran’s nuclear program. Iran has limited inspections by the IAEA since previous US and Israeli military action and suspended them entirely after the war broke out earlier this year. Tehran says its nuclear program is peaceful.Iran’s parliament last year passed a law reducing cooperation with the IAEA and suspending routine inspections following US attacks on Iranian nuclear facilities in Esfahan, Fordow and Natanz. However, relations with the UN nuclear watchdog were not completely severed. The law still allows inspectors to access certain ‘active nuclear sites’, including the Bushehr nuclear power plant, on a ‘case-by-case basis’.Under the terms of the initial outline released last week by US officials, Iran is expected to potentially reduce its stockpile of enriched uranium through “on-site down-blending under the supervision of the IAEA.”The UN watchdog estimates Iran has about 440 kilograms of uranium enriched to 60 percent, close to weapons-grade levels.Vance said discussions could begin almost immediately on the inspectors’ return.“I expect that to happen at least this week, but we think some discussions with inspectors … and also with the IAEA may happen today,” he said.IAEA Director General Rafael Grossi confirmed on X that he was present in Bergenstock and met with Swiss Foreign Minister Ignazio Cassis.