The Israeli military said on Thursday it will continue operating in southern Lebanon and "remove threats" beyond its so-called security zone, after the U.S. and Iran signed an agreement to end the Middle East war, including in Lebanon.

The military published a map of its declared "security zone" -- which runs some 10 kilometers inside Lebanese territory.

Adnan Kaour returned on Thursday to check on his home in southern Lebanon's coastal city of Tyre — once known as an idyllic summer getaway spot — just a week after Israel issued warnings for all of its residents to evacuate.

The warnings were followed by sweeping airstrikes on the city.

Israeli commanders and soldiers currently involved in the fighting in Lebanon say the Israeli army has changed its open-fire rules in recent days, reducing troops' ability to "prevent and respond to Hezbollah attacks" and leaving soldiers vulnerable.

Over the past two and a half years, Israel has taken control of swaths of Gaza, Lebanon and Syria that amount to its biggest expansion of militarily occupied lands in decades.

It is an area larger than many major cities — roughly 1,000 square kilometers (386 square miles) — and Israel has said it plans to stay indefinitely.

According to Israel's Channel 14, the next steps in south Lebanon will be discussed during next week's negotiations with Lebanese representatives in Washington.

Israeli security sources said the current agreement does not include an Israeli withdrawal from Lebanon and that Israel will retain "full freedom of action" to "strike against any threat" in Lebanon.

President Joseph Aoun said Thursday that the latest war has disrupted the economic, financial, administrative, and judicial reforms in Lebanon.

"Lebanon does not need financial aid but investments," he said.

Israeli officials have described the emerging Washington-Tehran deal as a deeply disappointing and problematic development that falls far short of Israel’s strategic goals.

"This is not what we hoped for," defense officials told Israeli Ynetnews.

Israel is holding negotiations with the United States as it seeks to maintain its troop deployment in southern Lebanon, media reports said, as the U.S. and Iran signed a deal to end the war including in Lebanon, although Israel and Hezbollah aren't parties to the agreement.

Iran insists Israel must withdraw from the large swath of southern Lebanon it has occupied since March, but the interim deal doesn't explicitly require that and only affirms a commitment to ensuring Lebanon's "territorial integrity."

U.S. President Donald Trump has said Washington "did send a copy" of its accord with Iran to end the Middle East war, following reports of tensions with Prime Minister Benjamin Netanyahu.

Insisting he maintains a good relationship with Netanyahu, Trump reaffirmed his criticism at the G7 summit of Israel's campaign against Hezbollah in Lebanon, saying "they (Israel) could do a much better job".

The Israeli military announced Thursday that one of its soldiers had been killed in fighting in southern Lebanon the day before, in an incident that also wounded seven soldiers.

Master Sergeant Alexander Filin, 29, "fell in combat", the military said in a brief statement, adding that an officer, a reserve officer and a reserve soldier were moderately injured.