In a joint statement early on Monday, Qatar and Pakistan said that a "High Level Committee" had agreed to "a roadmap towards reaching a final deal within 60 days".
Iran's foreign minister Seyed Abbas Araghchi said there had been "major progress" towards ending the conflict in Lebanon.
The memorandum of understanding (MoU) signed last week includes a commitment to ending the fighting on "all fronts" - including Lebanon - and the reopening of the Strait of Hormuz.
"Pakistani and Qatari mediation has delivered major progress to end Lebanon War," Araghchi posted on social media.
"Oil and petrochem exports are waived, blockade lifted, some frozen assets released, and major reconstruction & development plan launched for Iran."
The talks began on Sunday in Switzerland, after last week's initial agreement between the US and Iran. Technical talks will continue throughout the week.
The mediators' joint statement said that a "communication line" had been formed "to avoid incidents and miscommunication with the aim of safe passage for commercial vessels through the Strait of Hormuz".
Both sides also agreed to the creation of a "de-confliction cell" between the US, Iran and Lebanon, facilitated by the mediating countries, to end military operations in Lebanon, their statement said. Araghchi described this as the "first real test".
Since the MoU was signed, there has been an upsurge in fighting between Lebanese armed group Hezbollah and Israeli forces in southern Lebanon, and Israeli air strikes that the health ministry says have killed dozens of Lebanese including women and children.
A new ceasefire between Israel and Hezbollah was declared on Friday. Continued clashes and air strikes prompted Iran on Saturday to announce it had shut the Strait of Hormuz, though tracking data shows vessels have continued to pass through it.
First round of US-Iran talks ends with encouraging progress, mediators say
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Maia Davies,Mallory MoenchandBBC Verify
Reuters Ghalibaf arrives in SwitzerlandReuters
Iran's lead negotiator Mohammad Bagher Ghalibaf has dismissed Donald Trump's threat to renew strikes
The first round of negotiations between the US and Iran to reach a final deal to end the war has ended with "encouraging progress", mediators Qatar and Pakistan say.
In a joint statement early on Monday, Qatar and Pakistan said that a "High Level Committee" had agreed to "a roadmap towards reaching a final deal within 60 days".
Iran's foreign minister Seyed Abbas Araghchi said there had been "major progress" towards ending the conflict in Lebanon.
The memorandum of understanding (MoU) signed last week includes a commitment to ending the fighting on "all fronts" - including Lebanon - and the reopening of the Strait of Hormuz.
"Pakistani and Qatari mediation has delivered major progress to end Lebanon War," Araghchi posted on social media.
"Oil and petrochem exports are waived, blockade lifted, some frozen assets released, and major reconstruction & development plan launched for Iran."
The talks began on Sunday in Switzerland, after last week's initial agreement between the US and Iran. Technical talks will continue throughout the week.
The mediators' joint statement said that a "communication line" had been formed "to avoid incidents and miscommunication with the aim of safe passage for commercial vessels through the Strait of Hormuz".
Both sides also agreed to the creation of a "de-confliction cell" between the US, Iran and Lebanon, facilitated by the mediating countries, to end military operations in Lebanon, their statement said. Araghchi described this as the "first real test".
Since the MoU was signed, there has been an upsurge in fighting between Lebanese armed group Hezbollah and Israeli forces in southern Lebanon, and Israeli air strikes that the health ministry says have killed dozens of Lebanese including women and children.
A new ceasefire between Israel and Hezbollah was declared on Friday. Continued clashes and air strikes prompted Iran on Saturday to announce it had shut the Strait of Hormuz, though tracking data shows vessels have continued to pass through it.
Earlier, as the talks began in the Swiss city of Lucerne, Trump posted that Iran "must immediately stop their highly paid PROXIES in Lebanon from causing trouble" and threatened to "hit Iran very hard again" if they did not.
Iran's lead negotiator Mohammad Bagher Ghalibaf responded by saying: "Don't they think that if their threats had any effect, they wouldn't be in this desperate situation today?... No matter how much they talk, it is we who take action."
On Sunday, fighting was reported to have diminished but Israeli Prime Minister Benjamin Netanyahu insisted that the Israeli military would remain in southern Lebanon for as long as was necessary to protect northern Israel.
Hezbollah leader Naim Qassem has rejected any Israeli military presence in southern Lebanon and said Hezbollah would defend itself.
Speaking before the talks at the Swiss resort of Bürgenstock, US lead negotiator Vice-President JD Vance said Trump had asked negotiators to "turn over a new leaf".
He added that if Iran's leadership was willing to give up being a "driver of regional instability" and its "nuclear weapons ambitions for the longer term", then the US "is willing to fundamentally transform our relationship with that country".
Iran has insisted its nuclear programme is peaceful.
US-Iran memorandum of understanding in full
Weapons, money and ships: How is this Iran deal different from others?
Under the initial deal signed last week, Iran was to reopen the Strait of Hormuz, the key shipping channel through which 20% of the world's oil and natural gas travels.
The US also agreed to lift a military blockade on ships going to and from Iranian ports.
The deal also includes a $300bn (£224bn) plan for Iran's "reconstruction", and the US terminating "all types of sanctions" on it.
But the issue of Iran's nuclear programme is still to be negotiated.
On Sunday some vessels appeared to be entering, exiting and transiting the strait, according to location data on the maritime tracking website MarineTraffic, despite Iran's claim - disputed by the US - to have closed the strait.
The initial deal also called for fighting to stop on all fronts, but in Lebanon Israeli air strikes have since killed at least 67 people, while Hezbollah attacks have killed five Israeli soldiers.
Israel has insisted that its conflict with Hezbollah is separate from the war on Iran, which it mounted alongside the US on 28 February.
Lebanon was drawn into the war shortly afterwards, when Iran-backed Hezbollah launched rockets into Israel in retaliation for a strike that killed Iran's supreme leader.
Israel responded by launching a bombing campaign across Lebanon and occupying around 5% of the country's territory in the south - hoping to drive back Hezbollah fighters from its northern border - and has said it has no intention of withdrawing.
Since 2 March, at least 4,106 people have been killed in Lebanon, the country's health ministry says. Its figures do not differentiate between combatants and civilians.
Israeli authorities say 36 Israeli soldiers and four civilians have been killed on both sides of the border.
Additional reporting by Lana Lam, Emma Pengelly and Richard Irvine-Brown
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