Syrian President Ahmed al-Sharaa has denied that his country sought to intervene militarily in Lebanon where Israel and Hezbollah are at war, after U.S. President Donald Trump repeatedly suggested Damascus could get involved.

"We are looking for economic channels between Lebanon and Syria, not military ones," Sharaa said in an interview broadcast on television channel Al Mashhad.

There was cautious calm Monday in Lebanon, with no Israeli strikes reported overnight after a day of quiet Sunday.

Hezbollah likewise has not announced any attacks on Israeli forces since Saturday.

Some south Lebanon residents cautiously headed back to their hometowns on Sunday after fighting paused between Israel and Hezbollah the previous evening, even as Lebanon's army warned locals to delay returns.

Israel's military chief said on Sunday that Hezbollah had suffered a severe blow fighting Israeli forces and was now in a "very difficult position", as he met with troops in southern Lebanon.

Israeli Prime Minister Benjamin Netanyahu said on Sunday that Israeli forces would remain in southern Lebanon "as long as necessary", while also vowing to prevent Iran from acquiring nuclear weapons.

Hezbollah chief Sheikh Naim Qassem on Sunday rejected any Israeli security zone in Lebanon, after Israel's Prime Minister Benjamin Netanyahu vowed his troops would remain in the country's south for as long as necessary.

Iranian state television reported on Sunday a pause in the U.S.-Iran talks mediated by Pakistan and Qatar in Switzerland, and said that the Islamic republic's nuclear program had not been discussed.

Iran's chief negotiator Mohammad Bagher Ghalibaf on Sunday warned the United States against making threats at the Islamic republic, vowing that "our armed forces are ready to respond".

U.S. President Donald Trump said Sunday in a surprising statement that "Iran must immediately stop their highly paid PROXIES in Lebanon from causing trouble," apparently referring to Iran-backed Hezbollah.

Iran said on Sunday that the ongoing conflict in Lebanon between Israel and Hezbollah will top the agenda in talks with the United States in Switzerland, as well as issues such as frozen Iranian funds and the sale of the country's oil.