Iran-US talks continue despite Donald Trump threats

US President Donald Trump continued to threaten Iran on Sunday even as talks began in Switzerland between his vice president and Iranian officials on next steps in the interim agreement signed last week to end the war.

The US team is led by Vice President JD Vance and includes Jared Kushner and Steve Witkoff. The Iranian negotiators are led by Parliament Speaker Mohammad Bagher Qalibaf and Foreign Minister Abbas Araghchi. Pakistan and Qatar are mediators.

On the eve of talks, Tehran said it closed the Strait of Hormuz again over Israel's ongoing military campaign in Lebanon against the Iranian-backed Hezbollah militant group. The interim deal is meant to stop fighting on all fronts, including Lebanon. Iran has said talks must first address that issue.

The US says shipping traffic on the crucial waterway continues, and Trump has threatened to impose American tolls in the strait if a final deal with Iran isn't reached in 60 days. Other issues include unfreezing billions of dollars in Iranian assets and addressing the heart of tensions: Iran's nuclear program.

Negotiators hoping to reach a deal to end the war in Iran are anticipating working through the night, according to a senior US diplomat engaged in the talks.

The diplomat, who insisted on anonymity to detail private discussions, said the Iranians remained in the talks contrary to some reports, and said that much of the discussions have included clarifying what Iran meant by some of its recent statements about the Strait of Hormuz. The negotiators also discussed various "mechanisms" to ensure the strait remains open and that a ceasefire in southern Lebanon is enforced.