Israelis have gathered across the country to mark two years since the Hamas-led attack on October 7, 2023, as negotiations continued in Egypt over an end to the war in Gaza.

The attack saw over 1,200 people killed and 251 others taken back to Gaza as hostages. It was the single deadliest day for Jews since the Holocaust.

Israel responded by launching a military offensive in Gaza which has killed more than 67,000 people, according to the territory's Hamas-run health ministry. Its figures are seen as reliable by the UN and other international bodies.

The horror of that dark day will be forever seared in the memories of us all, UN Secretary General António Guterres said.

He called on all parties to agree to US President Donald Trump's peace plan, describing it as a historic opportunity to bring this tragic conflict to an end.

As memorial events took place in Israel, Israeli and Hamas negotiating teams convened in the Egyptian Red Sea resort of Sharm el-Sheikh for a second day of indirect talks to discuss the terms of the proposal.

A senior Palestinian official familiar with the negotiations told the BBC that an evening round of indirect talks began at 7 pm Cairo time (1700 GMT).

The official said the morning session ended without tangible results, amid disagreements over the proposed Israeli withdrawal maps from Gaza and over guarantees Hamas wants to ensure Israel does not resume fighting after the first phase of the deal.

He added that the talks are tough and have yet to produce any real breakthrough, but noted that mediators are working hard to narrow the gaps between the two sides.

Earlier, a Palestinian official said the negotiations were focused on five key issues: a permanent ceasefire; the exchange of the hostages still held by Hamas for Palestinian prisoners and detainees from Gaza; the withdrawal of Israeli forces from Gaza; arrangements for humanitarian aid deliveries; and post-war governance of the territory.

President Trump's negotiators, Steve Witkoff and Jared Kushner, were expected to depart the US this evening and arrive in Egypt on Wednesday, a source familiar with the talks told the BBC.

We have a really good chance of making a deal, and it'll be a lasting deal, the president told reporters at the White House on Monday.

The Israeli government delayed official memorials until October 16 - after the end of the Jewish High Holiday season - but events still took place across the country on Tuesday.

In Tel Aviv's Hostages Square, 29-year-old Hagar - whose brother survived the attack on the Nova music festival, where 378 people were killed and dozens more were taken hostage by Hamas gunmen - told the BBC: No place feels like home anymore and until all the hostages come back none of us will feel safe.

When we see everybody home again, we can breathe again. Then we can start to recover, she added.

Outside Israeli Prime Minister Benjamin Netanyahu's residence in Jerusalem, people gathered to show their support for the families of the hostages. Israel says 48 remain in captivity in Gaza, 20 of whom are believed to be alive.

Demonstrator Atalia Regev told the BBC: We need to do every compromise needed for the hostages to come back home. But we really want assurances that we will be safe.

Opinion polls now consistently show that around 70% of Israelis want the war to end in exchange for the release of the hostages.

From the site of the Nova festival, the boom of Israeli air strikes could be heard just a few kilometres away in Gaza, where intense bombardment continued.

In Gaza City, air and artillery strikes were reported in several neighborhoods, while medical facilities struggled under severe pressure, with many hospitals reportedly out of service.

UNICEF described a desperate situation in Gaza's hospitals, highlighting the dire conditions faced by mothers and their children.

Israel's military reported a rocket launched from northern Gaza into Israel, although no injuries or damage were reported.