A representative of a left-wing faction fighting alongside the Islamist Hamas movement in Gaza has told Newsweek his group is open to a temporary ceasefire in their war with Israel and called for greater efforts to establish a unity government among different Palestinian parties.

Hayya, said in a pre-recorded speech on Thursday the group had not rejected the latest U.S. proposal for a ceasefire with Israel but demanded changes that would secure the end of the war in the enclave.

As one of the five permanent U.N. Security Council members, the U.S. possesses veto power, which prevents any resolution from being approved.