Hamas said early on Tuesday that an Israeli proposal it received from Qatari and Egyptian mediators did not meet any of the demands of Palestinian factions.
However, the group added in a statement it would study the proposal, which it described as "intransigent," and deliver its response to the mediators.
A Hamas official told Reuters on Monday that the group has rejected the Israeli ceasefire proposal made at talks in Cairo, and Israeli Prime Minister Benjamin Netanyahu said a date was set for an invasion of Rafah, Gaza's last refuge for displaced Palestinians.
Israel said it was keen to reach a prisoners-for-hostages deal, by which it would free a number of Palestinians jailed in its prisons in return for the hostages in Gaza, but it wasn't ready to end the military offensive before invading Rafah.
Hamas wants any agreement to secure an end to Israel's bombardment, get Israeli forces out of Gaza and allow displaced people to return to their homes across the enclave.
Israel's indiscriminate air and ground offensive has so far killed more than 33,000 people in the besieged Palestinian enclave, mostly women and children, with thousands more missing.
