President Donald Trump on Tuesday couldn’t say what specific guarantees he’s been given from Israel that they won’t resume offensive strikes after the hostages still held by Hamas are released. He only said the U.S. has "a lot of power" to make sure the potential peace deal is adhered to.

"We are very close to making a deal on the Middle East that will bring peace," Trump said in remarks Tuesday.

In the two years since Hamas launched its Oct. 7, 2023, surprise attack on Israel, at least 67,173 Palestinians have been killed and 169,780 others wounded in Gaza, according to the Hamas-run Gaza Health Ministry.

"Among those killed are 20,179 children, 10,427 women, 4,813 elderly people, and 31,754 men," the ministry said in a statement on Tuesday.

Of the 38 hospitals in Gaza, 25 are now out of service, leaving only 13 still in partial operation, according to the ministry.

The first round of peace talks -- taking place in the Egyptian city of Sharm El Sheikh -- lasted four hours and are still ongoing, a spokesperson for Qatar's foreign ministry said in a press conference in Doha on Tuesday.

Also on Tuesday, Egyptian Foreign Minister Badr Abdelatty said at a Cairo press conference that an American delegation headed by presidential envoy Steve Witkoff will join talks aimed at a truce in Gaza and hostage and prisoner exchange on Wednesday.

-ABC News' Diaa Ostaz and Nasser Atta

Israel, in the second year of the war, continued hunting militants throughout the Gaza Strip, proceeding at times in block-by-block sweeps of neighborhoods and buildings.

Across the devastated territory, civilian casualties climbed, mass hunger spread and the Israel Defense Forces repeatedly forced large numbers of Palestinians to relocate.

Since returning to office in January, U.S. President Donald Trump has twinned a push for a peace deal with apocalyptic threats against Hamas.

This week, Hamas, Israeli and U.S. representatives are gathering in Egypt's Red Sea city of Sharm el-Sheikh for talks on Trump's proposed ceasefire deal, which he has framed as "something special" for the entire Middle East.

-ABC News' Kevin Shalvey

Since Hamas' Oct. 7, 2023, terrorist attack against Israel and Israel's military response in Gaza, an ABC News analysis of dozens of satellite images from the last two years shows the massive destruction across nearly every area of Gaza.

The images show entire towns and neighborhoods have been ravaged in Gaza, alongside key infrastructure like schools, hospitals and religious buildings.

As many as 197,000 buildings have been damaged or destroyed during the war, according to estimates in a damage analysis shared with ABC News of Copernicus Sentinel-1 satellite data by Corey Scher and Jamon Van Den Hoek of Oregon State University's Conflict Ecology lab.

-ABC News' Victoria Beaule