Egyptian mediators arrived in the Hamas-controlled Gaza Strip on Friday after fears rose of renewed tension along the enclave's border with Israel.
The Egyptian delegation, comprised of senior officials of the General Intelligence Service held talks with Hamas leaders Ismail Haniyeh, Yahya Sinwar, Khalil al-Hayya, and Rawhi Mushtaha.
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Hamas leaders said on Saturday that its officials briefed Egyptian intelligence officials about Israel's slow-paced implementation of the ceasefire understandings reached earlier this year under the auspices of Egypt and the United Nations.
The announcement came amid reports that Israel has offered additional measures to ease restrictions on the Gaza Strip, which has been under a maritime blockade since Hamas took control of it in a military coup in 2007.
According to Arab media reports, the talks discussed the internal Palestinian reconciliation between Hamas and Fatah, the bilateral relations with Egypt and the continued calm with Israel following the accidental killing of a Hamas security officer last week, which was followed by rocket fire on Israel's south.
Hamas official Hani al-Thawabteh told Palestinian newspaper Al-Quds that the Israeli proposal included options for various easing measures, such as promoting the entry of medicines and medical equipment into Gaza, returning fishing vessels seized by the Israeli Navy, and an increase in the number of permits for the passage of merchants and workers to Israel from 3,000 to 5,000.
In addition, it was proposed to permit the passage of goods that were forbidden to enter until now due to the use of terrorist activities and to increase the number of trucks transporting goods to the Gaza Strip.
Hamas said in a statement that its leaders presented the Egyptian officials with a "detailed briefing about the Israeli enemy's violations against the Gaza Strip and its foot-dragging regarding the implementation of the [ceasefire] understandings."
The statement said that the Hamas leaders stressed that Israel understands that the Gaza-based groups won't accept anything less than lifting the blockade on the coastal enclave.
Hamas official Salah al-Bardawil confirmed to local media that the talks focused on an unofficial truce that Egypt brokered between his movement and Israel and efforts to achieve reconciliation between Hamas and its Fatah rival President Mahmoud Abbas.
Last week, the Egyptian team met in Ramallah with senior Fatah officials and discussed ways of ending the dispute between the Palestinian ruling faction and Hamas.
Meanwhile, thousands of Palestinians gathered at five locations along the Gaza-Israel border on Friday as part of the weekly riot campaign that Hamas launched last year to protest a crippling blockade.
Gaza officials said 33 Palestinians were wounded by IDF fire during the demonstration.