We're bringing our live coverage to an end soon.

To recap, a little while ago US President Joe Biden spoke from the White House and outlined the terms of a proposal he said Israel has put forward to end the conflict in Gaza.

Here's the key points:

• The proposal is made up of three phases, starting with a six-week ceasefire, which if certain conditions were met, would become permanent and then be followed by the rebuilding of Gaza - see our earlier post for the details
• He urged Hamas to "take the deal", and called on the Israeli leadership to "stand behind" it
• Israeli PM Benjamin Netanyahu's office said it has authorised a negotiating team to "present an outline" for achieving the release of hostages
• In a statement, the Israeli PM's office said the conditional phased outline would allow it to maintain its war aims, including the "elimination" of Hamas's armed wing and organisational capacities
• We have not yet heard from representatives of Hamas

To get the full view of the Israeli ceasefire plan and Biden's comments about it, read our story here.

This live page was edited by Tiffany Wertheimer and Dulcie Lee. The writers were Caitlin Wilson, Sean Seddon, Ben Hatton and Sam Cabral.

US Representative Jerry Nadler, a senior congressional Democrat and key ally of Joe Biden, said he welcomes Biden's plan for Gaza's future.

"Every effort must be made to bring the hostages home, increase humanitarian assistance to Gaza, and an eventual return to stability for Israelis and Palestinians alike," he posted, external on X following Biden's remarks.

Nadler was among a group of Democratic lawmakers who called for a ceasefire in Gaza earlier this year.

Image source, EPA

We can bring you a response to Biden's remarks from the EU's top diplomat, Josep Borrell.

In a statement posted on X, Borrell says: "All our support to @POTUS, external Biden roadmap to an enduring ceasefire and the release of hostages leading to a permanent cessation of hostilities, withdrawal of IDF and reconstruction efforts to commence. The war has to end now."

A statement has just been released from Israeli Prime Minister Benjamin Netanyahu's office.

It says he has authorised the Israeli negotiating team to "present an outline" for achieving the release of all hostages.

However, the statements goes on to say the war in Gaza will not end until all goals - including the "elimination" of Hamas's armed wing and organisational capacities - are achieved.

It continues: "The exact outline proposed by Israel, including the conditional transition from stage to stage, allows Israel to maintain these principles."

Jo Floto
Middle East bureau chief in Jerusalem

Image source, Reuters

An Israeli ceasefire proposal, announced to the world by an American president, came at a time when Israel’s politicians are usually silenced by the start of the Jewish Sabbath.

No mention of the Israeli Prime Minister Benjamin Netanyahu.

President Biden has set out a ceasefire deal that contains three phases, and which would lead to, in his words, “a cessation of hostilities, permanently".

Until now the Israeli prime minister has refused to accept any proposal that agreed to the end of the war. His far-right coalition partners have also threatened to walk out, and thus bring the government down, if Netanyahu concedes to a permanent ceasefire.

For its part Hamas has refused to agree to release Israeli hostages, in exchange for a ceasefire and the release of Palestinian prisoners, unless such a deal would lead to “a sustainable long period of calm”.

However, Hamas yesterday appeared to reject the Israeli offer that was presented to it by Qatari mediators.

This evening, a Palestinian official familiar with the negotiations who has seen the new Israeli proposal, said that the document did not include a guarantee that the war will end nor that Israeli troops would completely withdraw from Gaza.

Image source, EPA

UK Foreign Secretary David Cameron has reiterated Biden's call for Hamas to accept the peace deal on the table.

In a message on social media platform X, Lord Cameron says: "With a new hostage agreement on the table, Hamas must accept this deal so we can see a stop in the fighting, the hostages released and returned to their families and a flood of humanitarian aid into Gaza.

"As we’ve long argued a stop in the fighting can be turned into a permanent peace if we are all prepared to take the right steps. Let’s seize this moment and bring this conflict to an end."

Image source, Reuters

Negotiations for a ceasefire between Hamas and Israel were already deadlocked but have looked in peril in recent weeks.

Earlier this month, Hamas announced it agreed to a ceasefire proposal and said the "ball is now in Israel's court".

However, Israel said the deal that Hamas's leadership had approved had not been agreed to by it negotiators, including its provisions on releasing hostages and the terms around a "permanent" ceasefire.

It has long been the position of the US - which has helped to mediate these discussions, along with Egypt and Qatar - that any deal must include the release of prisoners.

In the meantime, Israel has pressed ahead with its military offensive in Rafah, despite international pressure to call it off and avoid more civilian deaths.

Hamas has signalled in recent days it would take part in further talks as long as the Rafah offensive continues.

With Trump in the headlines, Biden's Gaza message risks getting lostpublished at 19:33 British Summer Time 31 May

19:33 BST 31 May

Anthony Zurcher
BBC North America correspondent

Joe Biden picked an interesting time to announce his administration’s latest push for an end to the Gaza war.

His White House appearance, which was added to the president’s schedule on short notice to reporters, comes the day after Donald Trump’s historic felony conviction and just a few hours after Trump spoke to reporters for 40 minutes in New York City.

Biden’s remarks could be seen as a way for the president to elbow his way back into the news – and to do so in a way that contrasts with Trump, by presenting himself as a statesman trying to bring peace (on an issue that has cost him support among his political base, as well).

Biden led off with his first public comments about Trump’s conviction, however, including broad condemnations of the “reckless” and “irresponsible” way the president – and, by extension other Republicans – have condemned the felony verdict as rigged.

By talking about the verdict at the top, Biden may have sought to further boost interest in his Gaza War remarks. But it also risked burying them.

While war and peace in the Middle East may be a more important story, Trump’s conviction dominates the headlines in America right now. And unless Biden’s peace plan actually takes hold, only his comments on his presidential rival will leave a mark.

As we've been reporting, a little earlier Biden spoke in the White House outlining a new Israeli proposal to end the war in Gaza.

In his remarks, Biden acknowledged there would be some in Israel who would not be happy with the proposal, including some in the governing coalition, but he urged the country's leadership to "stand behind" it.

He also directly addressed the people of Israel, saying "we can't lose this moment".

PHASE ONE

• It would begin with a six-week ceasefire, during which the IDF would withdraw from populated areas of Gaza
• Hamas would release "a number" of hostages - including women, the elderly and the wounded - in exchange for hundreds of Palestinian prisoners. Some remains of dead Israeli hostages would be returned to their families
• Palestinian civilians would return to their homes in all areas of Gaza
• Humanitarian assistance would "surge", with 600 trucks a day entering the strip, and hundreds of thousands of temporary housing units sent by the international community

During that six week period, negotiations mediated by the US and Qatar would continue. If successful, the next part of the plan would begin.

PHASE TWO

• Release of all remaining living hostages, including male soldiers
• Full withdrawal of Israeli forces from Gaza
• The ceasefire would be upgraded to the "cessation of hostilities permanently"

PHASE THREE

• Any final remains of Israeli hostages in Gaza would be returned
• A "major reconstruction plan" for Gaza would commence, including US and international assistance to rebuild homes, schools and hospitals

A major intervention by the US presidentpublished at 19:04 British Summer Time 31 May

19:04 BST 31 May

Tom Bateman
US State Department correspondent

President Joe Biden's remarks just now are a major intervention from the US president to draw Hamas back to the negotiating table.

Israeli mediators in Doha, Qatar had passed on a new proposal to end the fighting and secure the release of hostages held by Hamas.

That proposal was sent to Hamas on Wednesday, but the group demurred.

It replied that it believed it had been negotiating in good faith and would not now come back to the table until there was a pause in the hostilities in Gaza.

Biden's speech was his effort to point out this is a moment for both sides to "finally get this done".

The US president is aware that there are also those in Israeli leadership who would want to stay in Gaza forever, and so the only alternative is for all sides to take the deal he is helping to lay out.

I'm not convinced Biden's speech will be enough to bring Hamas back to the table - that will require help from both Qatar and Egypt.

Image source, Reuters

Biden finishes his remarks saying, "it's time to begin this new stage", to bring the hostages home, for Israel to be secure, for the suffering to stop.

"It's time for this war to end, and for the day after to begin," he says.

He then leaves without taking questions from the media.

The past eight months have seen heart-breaking pain on both sides, Biden says.

He talks about the suffering of Israeli families who experienced Hamas's sexual violence and ruthless brutality on 7 October.

Biden goes on to say too many people have been killed and wounded, including children, in Gaza, whose people have endured "sheer hell". He references the deadly strike and fire on Sunday in Rafah.

There is nothing easy about addressing one of the world's most complicated security situations, the president adds.

Biden says this is "truly a decisive moment".

"Israel has made their proposal, and Hamas says it wants a ceasefire - this deal is an opportunity prove whether they really mean it. Hamas needs to take the deal," he says.

He says for months people have called for a ceasefire, and says now it is time to raise their voices and demand Hamas comes to the table and agrees the deal.

"All this progress would make Israel more secure," Biden continues, no longer "living in the shadow of a terrorist attack".

Additionally, "all this would create the conditions for a different future, and a better future, for the Palestinian people," a future of "dignity" and "freedom".

"This path is available, once the deal is struck," Biden says.

Biden says the region needs a diplomatic solution, including a calmer situation along the northern border with Lebanon.

Palestinian and Israeli leaders will need to come together to rebuild Gaza in a way that does not allow Hamas to rearm, he says.

The US will help to build schools and hospitals, Biden says.

Biden says the plan would open the possibility of normalising relations with Saudi Arabia and countering the threat of Iran in the region.

He bills the proposal as a chance for Israel to become a strong regional player.

Biden says he knows there will be some in Israel who will not agree to the proposal.

He says: "I urge the leadership in Israel to stand behind this deal, despite whatever pressure comes".

Addressing the people of Israel, he says he has had a life-long commitment to the country.

"I ask you to take a step back and think what will happen if this moment is lost."

He says "we can't lose this moment" and he argues against "indefinite war".

Biden says phase three of the Israeli plan would also include a return of remains of hostages taken from Israel into Gaza on 7 October.

"Any final remains of hostages who have been killed would be returned to their families," he says.

Biden continues to outline the three-phase proposal for a ceasefire deal in Gaza.

As part of phase two, he says all remaining living hostages would be returned and a temporary ceasefire would come into full force.

The ceasefire would become "the cessation of hostilities permanently".

He acknowledges difficult negotiation would still be needed between the first and second phases of the plan.

Biden says this ceasefire plan would allow humanitarian aid to "surge," with "600 trucks carrying aid into Gaza every single day."

"With a ceasefire, that aid could be safely and effectively distributed to all who need it," he adds.

"All that and more would begin immediately."