Some anti-government protesters in Tel Aviv have been arrested after scuffles broke out between police and demonstrators demanding the resignation of the Israeli government.
Thousands gathered in Tel Aviv on Saturday to demand the Israeli government reach a deal to release the hostages still being held by Hamas in Gaza.
They also called for fresh elections and for Prime Minister Benjamin Netanyahu to step down.
On Saturday, Netanyahu called a permanent ceasefire in Gaza a "non-starter" until long-standing Israeli conditions for the ending the war are met.
That statement appeared to undermine a proposal that US President Joe Biden had announced as an Israeli one on Friday.
Biden referred to the three-phases proposal as a "truly decisive moment".
He said the first phase of the proposed deal would last for six weeks and would include a "full and complete ceasefire", a withdrawal of Israeli forces from all populated areas of Gaza and the release of a number of hostages, including women, the elderly and the wounded, in exchange for the release of hundreds of Palestinian prisoners.
The second phase would include the release of all remaining living hostages, including male soldiers, and Israeli forces would withdraw from Gaza.
And the third phase calls for the start of a major reconstruction of Gaza, which faces decades of rebuilding from the devastation caused by the war.
Hamas released a statement reacting positively to the deal, saying it was ready to engage "in a constructive manner" with any proposal based on a permanent end to the fighting.
While Biden acknowledged keeping the proposal on track would be difficult, Netanyahu's comments on Saturday suggest the deal could be dead in the water before anything has been agreed.
In a joint statement, Qatar, Egypt and the US all called on Hamas and Israel to finalise an agreement that embodies the principles outlined by Biden on Friday.
Meanwhile, smoke was seen rising from the direction of Rafah in southern Gaza on Saturday as the Israeli offensive in the besieged territory continues.
The city located near the border with Egypt was home of hundreds of thousands of displaced Palestinians forced to flee again after the Israel army launched new operations earlier in May.
The World Health Organization said on Saturday that there are almost no health services remaining in Gaza's southernmost city.
The UN estimates around 900,000 people have fled Rafah to seek safer areas elsewhere in Gaza.
