Fighting has directly shut down some of the main medical facilities that had served half of Gaza's 2.3 million people who have been sheltering in Rafah.
Israel has shut down both the Rafah and Kerem Shalom crossings for aid and people as part of its military operation in Rafah.
The US, which has played a mediation role in the talks, said it was studying the Hamas response and would discuss it with Middle East allies.
The OIC also emphasised the need for an immediate, permanent, and unconditional ceasefire.
Amid diplomatic manoeuvres in the push for an end to the Israel-Palestine conflict, Middle East expert John Strawson says the crisis has reached a critical moment.
On their second day of truce talks in Cairo with Egyptian and Qatari mediators, Hamas negotiators maintained their stance that any truce agreement must end the war.
Taher Al-Nono, a Hamas official and advisor to Hamas chief Ismail Haniyeh, said meetings with Egyptian and Qatari mediators had begun.
The system provides effective protection of valuable assets and first-class defence for forces located in the combat area.
This decision follows an initial action on April 9, where Türkiye curtailed exports of 54 product categories to Israel.
The Israeli military's heavy aerial bombardment in the aftermath of the attack, and its ongoing ground operations inside Gaza, have reduced many areas of the territory to rubble.
The event stands in stark contrast to last April, when Biden held an Iftar party. Dozens of people gathered at the White House, applauding Biden as he addressed them.
Further raising regional tensions during the Gaza war, Israeli air strikes destroyed an Iranian embassy consular annex in Syria, Damascus and Tehran said.
Intense hostilities in Gaza continued on Tuesday between Hamas and Israeli forces with a “double-digit number of children killed overnight”.
Wennesland also emphasized the importance of upholding the status quo at Holy Sites in Jerusalem, particularly during Ramadan.
The US is the only country that abstained from voting and did not veto the resolution as it has done in the past.
To reach the north from the south, aid teams have to pass through Israeli military checkpoints that cut the Strip in two.
This comes after Russia and China on Friday vetoed a US-led draft resolution that condemned a recent attack by Hamas but did not explicitly demand an immediate end to Israel's campaign in Gaza
UN Secretary-General António Guterres said Palestinians in Gaza are enduring horrifying levels of hunger and suffering.
UNRWA chief Philippe Lazzarini said he had "intended to go into Rafah today, but was informed my entry had been declined.