Hamas said Wednesday evening it was communicating with officials from Qatar, Egypt, and Turkey with an eye to ending the conflict.

Qatar-based Hamas political chief Ismail Haniyeh "made contact with the mediator brothers in Qatar and Egypt about the ideas that the movement is discussing with them with the aim of reaching an agreement", the group said in a statement.

It added that "communication also took place between the head of the movement and officials in Turkey".

"We exchanged some ideas with the mediator brothers with the aim of stopping the aggression against our Palestinian people," an earlier Hamas statement said.

Hamas political official Bassem Naim said Hamas had not outrightly rejected or accepted a deal, which was recently amended by the United States, but “responded with some ideas to bridge the gap” between the two sides. He declined to say what amendments Hamas had proposed.

Netanyahu's office and the Mossad intelligence service confirmed the new approach almost straight away.

"The hostages deal mediators have conveyed to the negotiating team Hamas' remarks on the outline of the hostages deal. Israel is evaluating the remarks and will convey its reply to the mediators," said an Israeli statement.

The latest proposal has new language the U.S. proposed to other intermediaries Egypt and Qatar last week, according to a senior Biden administration official who requested anonymity to discuss an effort the White House has yet to publicly unveil.

The new language addresses negotiations that are to start between Israel and Hamas during the first phase of a three-phase deal that U.S. President Joe Biden laid out nearly a month ago.

The first phase calls for a “full and complete cease-fire,” a withdrawal of Israeli forces from all densely populated areas of Gaza and the release of a number of captives, including women, older people and the wounded. In exchange, Israel would release of hundreds of Palestinian prisoners.

The proposal called for the parties to negotiate the terms of the second phase during the 42 days of phase one. Under the current proposal, Hamas could release all of the remaining men, both civilians and soldiers, during that phase.

In return, Israel could free an agreed-upon number of Palestinian prisoners and detainees. The releases would not occur until “sustainable calm” takes effect and all Israeli troops withdraw from Gaza.