The US-mediated, 10-day ceasefire took effect on Thursday, largely halting the war between Israel and Iran-backed Hezbollah that spiralled out of the conflict between the US and Iran.
But it remains fragile, with Israeli troops occupying territory deep in the south with a "forward defence line", aiming to create a buffer zone to shield northern Israel from Hezbollah attack, while the group says it maintains the "right to resist" Israeli occupation.
The Israeli military posted a map on social media with a red line through 21 villages across the south, and said residents should not move into the area between it and the border.
It said Israeli troops were maintaining positions in the south "in the face of ongoing terrorist activities" by the Iran-backed group.
The map named more than 50 other villages in the south to which residents should not return.
The Israeli military also said it was not permitted to approach the area of the Litani River, which mostly flows to the north of the area the Israeli military said residents should stay out of.
On Sunday, the Israeli military published a similar map, showing for the first time its new deployment line inside Lebanon.
Stretching east to west, the deployment line on the map runs five to 10km deep from the border into Lebanese territory, covering an area where the Israeli military has been destroying villages.
Senior Hezbollah official Mahmoud Qmati, addressing residents of the Hezbollah-controlled southern suburbs of Beirut on Saturday, told them they shouldn't return to their homes yet because of the risk of Israeli attack.
Local councils in the south also warned residents against returning home, saying doing so was not yet safe.
Hezbollah, in a statement on Monday, said explosive devices previously planted by its fighters had detonated as Israeli military vehicles were moving through an area of the south on Sunday, destroying four tanks.
The Israeli military did not immediately respond to a request for comment on the claim.
The Israeli military said on Sunday one soldier had been killed and another nine had been wounded during combat in southern Lebanon.
Lebanon was dragged into the regional war on March 2, when Hezbollah opened fire in support of Tehran, prompting an Israeli offensive that has killed more than 2300 people, including 177 children, and forced more than 1.2 million to flee, Lebanese authorities say.
Hezbollah has not disclosed its casualty figures. At least 400 of its fighters had been killed by the end of March, according to sources close to the group.
Hezbollah has fired hundreds of rockets and drones at Israel.
Its attacks have killed two civilians in Israel while 15 Israeli soldiers have died in Lebanon since March 2, Israel says.
