The Lebanon conflict spiralled out of the US-Israeli war with Iran on March 2, when Iran-backed Hezbollah opened fire in support of Tehran, prompting an Israeli offensive in Lebanon just 15 months after the last major conflict.
The Israeli security cabinet convened late on Wednesday to discuss a possible ceasefire in Lebanon.
"Peace in Lebanon is essential for (Iran) peace talks," Pakistan's foreign ministry said.
In a post on Truth Social, Trump said he was "trying to get a little breathing room" between Israel and Lebanon.
"It has been a long time since the two leaders have spoken, like 34 years. It will happen tomorrow. Nice!" Trump wrote of the Thursday talks.
Gila Gamliel, a member of Israel's security cabinet, told Israel's Army Radio that Prime Minister Benjamin Netanyahu would "speak for the first time with the president of Lebanon after so many years of no contact between the two countries".
A senior Lebanese official said Lebanon had no information about a call between Lebanese President Joseph Aoun and Netanyahu.
Contact between Netanyahu and Aoun would be a milestone in ties between Lebanon and Israel - countries that have remained in a state of war since Israel was established in 1948.
Hezbollah opposes contacts between Lebanon and Israel.
The Lebanese government has been sharply at odds with Hezbollah over its decision to enter the war, having spent the past year seeking to secure the peaceful disarmament of the group founded by Iran's Revolutionary Guards in 1982.
Fighting continued to rage in south Lebanon, notably in the Lebanese border town of Bint Jbeil, a Hezbollah stronghold and strategic prize that Netanyahu said on Wednesday the Israeli military was about to "overcome".
A senior Lebanese official said Lebanon's assessment was that Israel wanted to secure a victory in Bint Jbeil before diplomatic progress could be made.
An Israeli strike destroyed the last bridge over the Litani River into the south, a senior Lebanese security source said, fully severing almost a tenth of Lebanon from the rest of the country after Israel destroyed other crossings during the war.
Hezbollah announced new rocket attacks at Israel.
Washington expressed optimism on Wednesday about reaching a deal to end the Iran war.
The sides agreed a two-week ceasefire in the Iran war on April 8, following mediation by Pakistan.
Israel and the US have said the campaign against Hezbollah was not part of that ceasefire, though Pakistan's prime minister had said the truce would include Lebanon, as demanded by Iran.
A senior Israeli official and the senior Lebanese official said on Wednesday that Netanyahu's government was under heavy pressure from Washington to reach a ceasefire in Lebanon.
