BEIRUT — One person has been killed in an Israeli strike in southern Lebanon, the country's health ministry says, while two Israeli soldiers were killed in an explosion inside a booby-trapped building in southern Lebanon amid ongoing talks aimed at implementing a ceasefire.A man died and 12 other people were injured when the roof of a prayer hall at the cemetery of the town of Tibnin was hit, according to Lebanese media.Israel on Thursday reported its first military fatalities in southern Lebanon in more than a month.The military identified the two reservists, who were killed in combat on Wednesday, as Major Harel Birenstock, 34, and Sergeant Major Tamir Vaknin, 33, of the 2855th Battalion, 55th Brigade.The report followed an explosion targeting an Israeli force in the Majdal Zoun area of southern Lebanon earlier on Wednesday.Israeli media said the blast caused casualties among the force, with four seriously wounded soldiers evacuated by military helicopters to Rambam Medical Center.Meanwhile, Israel is considering additional military strikes in Lebanon as its army prepares for further escalation, Israeli media reported Wednesday, despite ongoing negotiations between the two sides in Rome.Israel's public broadcaster, citing unnamed Israeli sources, reported that the Israeli army's response to what it claimed were Hezbollah violations "has not ended," adding that additional options, including what it described as "sensitive operations," are under consideration.Lebanon's National News Agency said families fled the town of Mansouri after the Israeli army issued an evacuation warning.The developments came as the second day of the second round of indirect Lebanon-Israel talks was held in Rome. The report said Lebanese officials were seeking to limit the scale of any Israeli response during the current round of US-mediated talks in the Italian capital, while hoping Washington would press Israel to avoid further escalation.Five previous rounds were held in Washington as part of a US-sponsored negotiating process.Channel 13 reported that the Israeli army is continuing preparations for a possible escalation and drawing up options for additional strikes in the coming hours following the first wave of attacks on southern Lebanon.Separately, Channel 12 reported that the military had urged the political leadership to approve what it described as a "stronger and more decisive" response in Lebanon.According to Lebanon's Health Ministry, Israel has continued its attacks in Lebanon since March 2, killing 4,333 people and injuring 12,250 others.Israeli authorities say 38 Israeli soldiers and four civilians have been killed on both sides of the border during the conflict.