The indirect talks over a US proposal for a 60-day ceasefire are nonetheless expected to continue, the sources said, despite the latest obstacles in clinching a deal.
A Palestinian source said Hamas has rejected the withdrawal maps Israel has proposed, as they would leave about 40 per cent of the territory under Israeli control including all of the southern area of Rafah and further territories in northern and eastern Gaza.
Two Israeli sources said Hamas wants Israel to retreat to lines it held in a previous ceasefire before it renewed its offensive in March.
The Palestinian source said matters regarding aid and guarantees for ending the war were also presenting a challenge, and added that the crisis might be resolved with more US intervention.
The White House said on Monday Trump's envoy Steve Witkoff, who played a major role in crafting the latest ceasefire proposal, would travel to Doha this week to join discussions.
Delegations from Israel and Hamas have been in Qatar since Sunday in a renewed push for an agreement which envisages a phased release of hostages, Israeli troop withdrawals and discussions on ending the war entirely.
Hamas has long demanded an end to the war before it would free remaining hostages; Israel has insisted it would end the fighting only when all hostages were released and Hamas was dismantled.
The war began on October 7, 2023, when Hamas-led militants stormed into Israel, killing about 1200 people and taking 251 hostages into Gaza.
At least 20 of the remaining 50 hostages are believed to still be alive.
Israel's subsequent campaign against Hamas has since killed more than 57,000 Palestinians, according to Gaza health authorities, displaced almost the entire population of more than two million people, sparked a humanitarian crisis and left much of the territory in ruins.
