Iran's prominent speaker of parliament Mohammad Bagher Ghalibaf told his Lebanese counterpart on Thursday that a ceasefire in Lebanon was "as important" as in Iran, according to a statement posted on Telegram.

In talks to end the war between Iran and the United States, Ghalibaf said Tehran has "been striving to compel our enemies to establish a permanent ceasefire in all the conflict zones, in accordance with the agreement. For us, a ceasefire in Lebanon is just as important as a ceasefire in Iran," he said, in a phone conversation with Nabih Berri.

President Joseph Aoun on Thursday stressed the importance of a ceasefire before any direct negotiations with Israel, ahead of possible talks with Israel's leader that Beirut has not confirmed will take place.

"The ceasefire requested by Lebanon with Israel is the natural starting point for direct negotiations between the two countries," Aoun said in a statement.

The Israeli military carried out two strikes against a key bridge in the south of Lebanon on Thursday, destroying it, the state-run National News Agency (NNA) reported.

"Enemy aircraft carried out two consecutive strikes on the Qasmieh bridge, the last bridge between the Tyre and Sidon regions, completely destroying it," the NNA said.

The influential chief of Pakistan's armed forces visited Iran to meet the head of Tehran's negotiators on Thursday, as Washington considers agreeing to another round of peace talks in Islamabad.

Iranian state television showed Field Marshal Asim Munir meeting Iran's speaker of parliament, Mohammad Bagher Ghalibaf, who led the Iranian delegation at the first U.S.-Iran meeting in Pakistan last week, which ended without a deal.

Lebanon is "not aware" of any upcoming contact with Israel, an official source told AFP, after U.S. President Donald Trump said the leaders of leaders of Lebanon and Israel would speak on Thursday.

"We are not aware of any planned contact with the Israeli side, and we have not been informed of any through official channels," the source said.

Israeli Prime Minister Benjamin Netanyahu on Wednesday said Israel's top priority was to secure the "dismantling" of Hezbollah in its first direct talks with Lebanon in decades.

"In the negotiations with Lebanon, there are two central objectives: first, the dismantling of Hezbollah; second, a sustainable peace... achieved through strength," he said.

Israel hailed on Wednesday the opening of direct talks with Beirut as a "historic opportunity" that could end Hezbollah's "stranglehold" on Lebanon.

"This is indeed a genuine historic opportunity to end decades of Hezbollah stranglehold over Lebanon," Israeli government spokesman David Mencer told a press briefing, while insisting there was "no ceasefire discussion" with the Iran-backed group.

Lebanese authorities said Israeli strikes on the country's south killed at least three paramedics on Wednesday, as the Israeli army announced it had attacked 200 Hezbollah targets over 24 hours.

Hezbollah meanwhile claimed attacks on northern Israel and on invading Israeli troops, a day after Lebanese and Israeli officials agreed to hold direct negotiations.

Israel's military chief of staff on Wednesday said he had ordered areas south of Lebanon's Litani River to be turned into a Hezbollah "kill zone" as troops pressed a major offensive there.

"I have ordered that all of the area of south Lebanon up to the Litani (River) line be turned into a Hezbollah terrorist kill zone," chief of staff Lieutenant General Eyal Zamir said on a visit to troops operating in the area.

U.S. President Donald Trump has indicated peace talks with Tehran could resume this week, as the United States turned the screws Wednesday with a naval blockade it said had cut off maritime trade with Iran.

Trump's hint came as Israel and Lebanon agreed to open direct negotiations after a rare face-to-face meeting in Washington, with Israel's war with Hezbollah ongoing despite the ceasefire with Tehran.