Israeli strikes killed seven people in Lebanon on Sunday, including an Islamic Jihad commander, Lebanese authorities and state media said, despite a fragile ceasefire as Hezbollah called U.S.-brokered talks a "dead end".

The health ministry published a "preliminary toll" for Israel's strikes on Sunday, with three people killed in the town of Tayr Felsay, including a child, and two killed in the town of Tayr Debba, including another child.

Lebanon has received a proposal through its embassy in Washington concerning efforts to achieve a complete and comprehensive ceasefire within 24 to 48 hours, starting at midnight between Saturday and Sunday, diplomatic sources said.

Hezbollah said Saturday it struck a military target in northern Israel, as the fragile ceasefire between Lebanon and Israel has not stopped fighting in the war that began on March 2.

Israel's military said Saturday that one of its soldiers died in combat in southern Lebanon, bringing its losses to 21 personnel since the war with Hezbollah began in early March.

Lebanon is conducting intensive contacts in coordination with the U.S. with the aim of reaching a comprehensive ceasefire with Israel, sources told Sky News Arabia.

Israel launched new airstrikes in southern Lebanon on Saturday, a day after the two states agreed to extend a truce following talks in Washington.

Lebanon and Israel on Friday extended a ceasefire for 45 days, despite a new flareup in violence, the U.S. State Department said after mediating talks.

"The April 16 cessation of hostilities will be extended by 45 days to enable further progress," State Department spokesman Tommy Pigott said.

Lebanon's negotiating delegation in Washington said on Friday that the extension of the truce with Israel and the establishment of a U.S.-facilitated security track pave the way for "lasting stability".

The truce in the Israel-Hezbollah war was extended for 45 days following the third round of negotiations between Lebanese and Israeli representatives in Washington.

The United Nations humanitarian coordinator for Lebanon said on Friday that talks between Lebanon and Israel offer a "critical opportunity" to end the Israel-Hezbollah war.

"Diplomatic efforts now offer a critical opportunity to stop the violence," Imran Riza said in a statement, adding that he hoped "ongoing negotiations will pave the way toward a political solution".

An Israeli strike hit a building in the southern Lebanese city of Tyre on Friday after an evacuation warning, state media reported, despite an extension in the truce between Israel and Hezbollah.

Israel's military had called on residents of several buildings in Tyre to immediately evacuate ahead of planned strikes in the area.