British Ambassador to Lebanon Hamish Cowell on Tuesday met with caretaker Foreign Minister Abdallah Bou Habib and discussed with him the developments in Gaza and Lebanon.

The National News Agency said Cowell stressed the importance of keeping Lebanon out of the ongoing conflict between Israel and the Palestinians.

Caretaker Prime Minister Najib Mikati has scheduled a caretaker Cabinet session for this Thursday.

A statement issued by Cabinet’s secretary-general said the session will tackle “the current developments at all levels,” in reference to the Israel-Gaza war and the latest military developments in south Lebanon.

The British Embassy in Beirut has announced updated Travel Advice for Lebanon.

The Foreign, Commonwealth and Development Office advised Tuesday against non-essential travel to Lebanon and against all travel to some areas in the south of the country.

Reports that a drone may have crossed into Israel from Lebanon or Syria turned out to be "false," the Israeli army said on Tuesday.

“There are reports of a suspected aerial violation over the Golan and the Upper Galilee and our aircraft are monitoring the area,” the army had said earlier.

Former Progressive Socialist party leader Walid Jumblat has urged Hezbollah to keep the situation in the South under control, after Palestinian militants tried to infiltrate into Israel from Lebanon.

Hezbollah has to control the situation in the south more than any time before especially against infiltration attempts, Jubmlat said, warning against a "Jewish-Islamic conflict."

Israeli forces shelled the southern Lebanese border towns of Blida and Mays al-Jabal at dawn Tuesday, Lebanon’s National News Agency said.

The agency said the Israeli army fired four artillery shells after suspecting the presence of a cross-border infiltration attempt.

Hezbollah should not make the "wrong decision" of opening a second front against Israel as it battles attacks by Hamas, a senior U.S. defense official warned Monday.

"We are deeply concerned about Hezbollah making the wrong decision and choosing to open a second front to this conflict," the official told journalists.

A senior Hamas official has said only a small number of top commanders inside Gaza knew about the wide-ranging incursion launched into Israel, but that allies like Iran and Hezbollah "will join the battle if Gaza is subjected to a war of annihilation."

Ali Barakeh, a member of Hamas' exiled leadership, spoke to The Associated Press in his Beirut office as Israel bombarded Gaza and vowed a total blockade of the Hamas-ruled territory.

Israeli strikes on south Lebanon killed three Hezbollah members Monday, the Lebanese group said, as tensions surged after Palestinian militants tried to infiltrate into Israel from Lebanon.

The escalation on Israel's northern border with Lebanon comes two days after Hamas militants launched a historic multi-pronged attack on Israel's southern flank from the blockaded Gaza Strip sparking a fierce war with Israel.

Families in several border towns in southern Lebanon have started fleeing north as Israeli shelling continues in the area.

An Associated Press team saw several cars packed with people and belongings departing Monday. “We tried to flee Aita el-Shaab to Rmeish, but they told us everyone has to stay in their area,” a man said as he and his family tried to flee.