Hopes that the war in the Gaza Strip would pause before the start of Ramadan were dashed last week.
The Muslim month of fasting began on Monday, and the fighting has not stopped.
But the mediators have not said their last word.
Qatar, Egypt and the United States are trying to exert all their might, increasing the pressure on Benjamin Netanyahu and Hamas to reach an agreement.
A glimmer of hope emerged on Friday.
The Palestinian Islamist movement, which has until now demanded a definitive ceasefire from Israel before any agreement on the hostages held in Gaza, has said it is ready for a six-week truce.
It would involve the release of 42 women, children, elderly and sick people kidnapped on October 7, in exchange for hundreds of Palestinian prisoners held by the Jewish state.
A relaxation which would still be accompanied by the withdrawal of the Israeli army from populated areas and the return of displaced people, as well as an increase in humanitarian aid.
Opposite, Israel announced that a delegation was going to leave for Doha, without specifying when.
Fragile progress, but welcome, while the two belligerents are pressed from all sides to find common ground.
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