The ambassadors of Israel and Lebanon began a new round of direct talks in Washington on Tuesday after U.S. President Donald Trump said he had received commitments from both sides to de-escalate.

Lebanon's health ministry said Tuesday that Israeli strikes a day earlier near a hospital in the southern city of Tyre killed four people and wounded 127 others, including 39 staff from the facility.

The ministry statement said the wounded staff at the Jabal Amel hospital were "four doctors, 27 nurses, and eight (administrative) employees -- four of whom are in critical condition and receiving treatment in intensive care".

Israel's defense minister said Tuesday Washington had given its backing to potential Israeli strikes on Beirut's southern Dahieh suburb if the Iran-backed group attacked northern Israeli communities.

"The Prime Minister and I led a coordinated move together with the IDF to establish a new equation... If Israeli towns continue to be attacked, we will evacuate and strike the Shiite Dahieh quarter in Beirut, Hezbollah's stronghold," Israel Katz said at a conference, a defense ministry statement said.

Lebanon's public university said on Tuesday it was postponing some examinations after two students and their father were killed while returning to south Lebanon after sitting exams a day earlier.

The state-run National News Agency (NNA) said a dentist from the border village of Qlayaa "was killed with his son and daughter when an enemy drone targeted his car on the Nabatieh-Khardali road" on Monday.

Israel has portrayed the capture of a Crusader-era fortress as a turning point in its offensive against Hezbollah, but the operation has also sparked fears of a new quagmire in south Lebanon.

Israeli authorities praised the symbolism of the capture of Beaufort, perched atop a rocky outcrop, as they announced its capture in an assault documented by military drones.

Parliament Speaker Nabih Berri praised Tuesday Iran for insisting that a ceasefire in Lebanon remains a key condition for any deal with the United States.

Iran's parliament speaker and chief negotiator Mohammad Bagher Ghalibaf had said on Monday night that he and Berri had spoken by phone.

Parliament speaker Nabih Berri, a Hezbollah ally, will guarantee the Iran-backed group's adherence to a "global ceasefire" with Israel, his adviser told AFP on Tuesday.

Berri, who heads the Hezbollah-allied Amal party, has long acted as an intermediary between the group and the United States, which considers Hezbollah a "terrorist" organization.

The Israeli military on Tuesday warned residents of the southern Lebanese city of Nabatiyeh to evacuate ahead of planned strikes in the area.

"In light of the Hezbollah terrorist organization's violation of the ceasefire agreement, the IDF is compelled to act against it with force," the military's Arabic-language spokesman, Colonel Avichay Adraee, posted on X.

Lebanon's civil defense agency said Tuesday that six people had been killed in an Israeli strike on the south Lebanon village of Marwaniyeh the previous evening.

In a statement on Facebook, the agency said rescue operations had been ongoing since late Monday at the site of "a residential building that was targeted" in Marwaniyeh, near the coastal city of Sidon, adding that "these operations resulted in the removal of six bodies and the rescue of three wounded people".

U.N. chief Antonio Guterres said Monday that peacekeepers will be needed in Lebanon after the mandate of the current mission expires at year-end -- an option likely to face opposition from the United States and Israel.

Last August, the U.N. Security Council, under U.S. pressure, decided to end the mandate of the United Nations Interim Force in Lebanon (UNIFIL) on December 31, 2026.