PALESTINIAN TERRITORIES -- Israel bombed targets in Gaza on Tuesday after Prime Minister Benjamin Netanyahu insisted the army will destroy Hamas despite ongoing Cairo talks towards a ceasefire and hostage deal.

More than six months into the war, Hamas said it was "studying" a new proposal for a temporary truce, submitted during the talks with US, Qatari and Egyptian mediators.

Under the plan, fighting would stop for six weeks, 40 women and child hostages would be exchanged for hundreds of Palestinian prisoners, and up to 500 aid trucks would enter Gaza per day, a Hamas source said.

Hamas said it "appreciates" the mediators' latest efforts but accused Israel of failing to respond to its long-standing demands, including a full withdrawal of forces from Gaza.

Netanyahu stressed -- despite growing pressure from top ally the United States -- that Israel would pursue the twin goals of bringing home the hostages and destroying Hamas after its October 7 attack.

READ: Israel, Hamas dampen hopes for speedy Gaza truce deal

"Today I received a detailed report on the talks in Cairo," the premier said in a video message Monday. "We are working all the time to achieve our goals, primarily the release of all our hostages and achieving a complete victory over Hamas."

He said Israeli forces would storm Gaza's far-southern city of Rafah on the Egyptian border, despite global concern for the fate of up to 1.5 million Palestinians sheltering there.

The Israeli premier said: "This victory requires entry into Rafah and the elimination of the terrorist battalions there.

"It will happen -- there is a date," he vowed without saying when he plans to send troops into the last city in Gaza so far spared a ground invasion.

US officials renewed their objections to a Rafah operation, following a phone call last week between President Joe Biden and Netanyahu.

"We have made clear to Israel that we think a full-scale military invasion of Rafah would have an enormously harmful effect on those civilians and that it would ultimately hurt Israel's security," said State Department spokesman Matthew Miller.

Israel has invited tenders for 40,000 large tents, according to a document on the defense ministry website -– part of its preparations to evacuate Rafah ahead of an offensive, a government source told AFP on condition of anonymity.

READ: Trump increasingly ambiguous on Israel amid Gaza war

- 'Every home destroyed' -

The carnage left by the bloodiest ever Gaza war was on display in the southern city of Khan Yunis, a wasteland of shattered buildings and mountains of rubble after months of heavy bombardment and street fighting.

Displaced Palestinians returned on foot, in cars and on donkey-drawn carts after Israeli forces pulled out on Sunday in what the army said was a tactical and temporary withdrawal.

As Palestinians readied for Wednesday's Eid al-Fitr holiday marking the end of the fasting month of Ramadan, they were stunned at the apocalyptic sight of hundreds of gutted or collapsed buildings, bomb craters and tank tracks in the sand.

"I came to see my home, only to find it destroyed and reduced to a pile of rubble," said Umm Ahmad al-Fagawi.

"I'm shocked by what I saw. Every home is destroyed, not only mine but also all the neighbors' homes."

Another returnee said she had come back to find "a ruined place -- no water, no electricity, no columns, no walls and no doors, there's nothing. Gaza is not Gaza anymore."

The war broke out with Hamas's October 7 attack against Israel, which resulted in the deaths of 1,170 people, mostly civilians, according to Israeli figures.

Palestinian militants also took more than 250 hostages, 129 of whom remain in Gaza, including 34 the army says are dead.

Israel's retaliatory offensive has killed at least 33,207 people in Gaza, mostly women and children, according to the Hamas-run territory's health ministry.

WATCH: Israel's Netanyahu says 'There is a date' for Rafah invasion

- Air strikes, sniper fire -

The army said Tuesday it had destroyed "terrorist infrastructure" throughout Gaza and an "aircraft eliminated a terrorist in Khan Yunis who participated in the October 7 massacre".

In the central Gaza Strip, "troops eliminated a number of terrorists in close-quarter combat," it said. "Several additional terrorists who posed a threat to the troops were eliminated by aircraft strikes and precise sniper fire."

A UN team on Monday inspected Al-Shifa hospital, Gaza's largest, which was mostly destroyed in two weeks of fierce fighting which the army said targeted militants holed up inside.

While the war has destroyed swathes of Gaza, leveling entire city blocks, an Israeli siege has pushed many of its 2.4 million people to the brink of famine.

Israel, under intense US pressure to step up aid deliveries, on Monday allowed in 419 aid trucks, a daily record since the start of the war, said the Israeli defense ministry body COGAT.

Amid the war, violence has flared elsewhere in the Middle East, drawing in Iran-backed groups based in Lebanon, Iraq, Syria and Yemen.

Israel's army said a projectile targeted its southern port city of Eilat on Monday but was intercepted by its naval C-Dome missile defense system without causing casualties.

READ: UN Security Council reviews Palestinian bid for full UN membership

- Global pressure -

Israel has faced a chorus of global calls to halt the fighting and ease the suffering, including from France, Egypt and Jordan.

French Foreign Minister Stephane Sejourne, demanding that vastly more aid be allowed into Gaza, said there are multiple "levers of influence" including sanctions.

Turkey said it would impose trade restrictions on Israel, covering cement and steel construction materials, sparking an Israeli vow to take retaliatory steps.

Nicaragua has brought Israel's ally Germany before the International Court of Justice to demand emergency measures to stop Berlin from sending Israel weapons and other assistance.

Lawyers for Nicaragua argued that Germany is in breach of the 1948 United Nations Genocide Convention, set up in the wake of the Holocaust.

Germany's representative has rejected the claim and told the court in The Hague on Tuesday that "our history is the reason why Israel's security has been at the core of German foreign policy".

© Agence France-Presse