The UN Security Council has called for an "immediate and unconditional humanitarian ceasefire" in Gaza.
An emergency session backed a statement calling for a truce over the Muslim holiday of Eid al-Fitr "and beyond".
Both the Palestinian and Israeli envoys to the UN criticised the statement, for different reasons.
Gaza had its quietest night in weeks after a weekend punctuated by brief truce initiatives offered by both Israel and Hamas.More than 1,030 Palestinians, mostly civilians, and 43 Israeli soldiers and two Israeli civilians have been killed. A Thai national in Israel has also died.
The Gaza health ministry on Sunday revised the number of Palestinian dead down by 30 after some relatives found missing family members.
Israel's military reported a new rocket attack on Monday morning, saying it had hit an open area in southern Israel. It fired back, in its first reported military action since late on Sunday evening.