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.

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.

The U.S. vetoed a U.N. Security Council resolution on Wednesday that called for an “immediate and permanent ceasefire in Gaza.” The resolution was cosponsored by the U.N.’s E10, a group of ten non-permanent members of the Security Council.