Last Updated Jul 27, 2014 10:00 PM EDT
GAZA CITY, Gaza Strip - Israel and Hamas launched new attacks Sunday in the raging Gaza war, despite going back and forth over proposals for a temporary halt to nearly three weeks of fighting ahead of a major Muslim holiday.
The failure to reach even a brief humanitarian lull in the fighting illustrated the difficulties in securing a more permanent truce as the sides remain far apart on their terms.
The U.N. Security Council agreed Sunday night on a statement calling for "an immediate and unconditional humanitarian cease-fire" in the Gaza fighting. The council planned to meet at midnight EDT to adopt it.
After initially rejecting an Israeli offer Saturday for a 24-hour truce, Hamas said Sunday that it had agreed to hold fire ahead of the Eid al-Fitr holiday marking the end of the Muslim fasting month of Ramadan. But as Israel's Cabinet met to discuss the offer and the ongoing war, rockets rained down on southern Israel and Israeli strikes could be heard in Gaza.
Each side blamed the other for scuttling the efforts.
Hamas said that "due to the lack of commitment" by Israel, it resumed its fire. Israeli Prime Minister Benjamin Netanyahu said that Hamas showed it could not be trusted after it violated other cease-fire efforts.
"Israel is not obliged and will not let a terrorist organization, a ruthless terror organization, committed to our destruction, to decide when it's convenient for them to stop for a moment, rearm, and continue firing on our citizens and our people," Netanyahu said on CBS' "Face the Nation."
Appearing on the same program, Hamas leader Khaled Meshaal told "CBS This Morning" co-host Charlie Rose in an exclusive interview that his side sees it as a fight against occupation.
"We are not fanatics; we are not fundamentalists. We do not actually fight the Jews because they are Jews per se. We do not fight any other races. We fight the occupiers," Meshaal said.
The militant group, which controls the Gaza strip, has demanded that Israel and Egypt lift their
International diplomats had hoped a temporary lull could be expanded into a more sustainable truce to end the bloodshed and U.N. chief Ban Ki-moon urged the sides on Sunday to accept a 24-hour break in fighting.
However, both sides were holding out for bigger gains in the Gaza war.
Hamas wants to break the seven-year blockade of Gaza and believes the only way to force serious negotiations on ending the closure is to keep fighting. Meshaal told CBS News that ending the blockade was not a precondition for the end of hostilities.
"Life is not a prerequisite. Life is a right for our people in Palestine," he said. "This is a collective punishment; we need to lift the siege. We have to have a port. We have to have an airport. This is the first message. The second message in order to stop the bloodletting we need to look at the underlying causes, we need to look at the occupation, we have to stop the occupation."
Israel, which launched the war on July 8 to halt relentless Hamas rocket fire on its cities, wants more time to destroy Hamas' rocket arsenal and the military tunnels the Islamic militants use to infiltrate into Israel and smuggle weapons.
The 20-day war has killed more than 1,030 Palestinians, mainly civilians, according to Palestinian health officials. UNICEF said Sunday more than 200 Palestinian children -- more than 30 percent of the civilian casualties -- have been killed in the fighting.
Israel has lost 43 soldiers, while two Israeli civilians and a Thai worker in Israel were killed by rocket and mortar attacks from Gaza.
Following Hamas' call for a break in fighting, an Israeli airstrike killed one person in Gaza when it hit a vehicle carrying municipal workers on their way to fix water pipes, the Palestinian Red Crescent said.
Police said Israeli tanks fired shells on densely populated areas south of Gaza City. One shell hit an apartment building and several shells struck a building. Navy boats also resumed firing on Gaza's coast, police said. The Israeli military said it hit some 40 sites throughout Sunday.
In southern Israel, one person was injured and a house was damaged by a rocket launched from Gaza, Israeli police said. The Israeli military said more than 50 rockets were fired Sunday.
Ahead of the three-day Eid al-Fitr holiday, which begins Monday, families in Gaza ordinarily would be busy with preparations, with children getting new clothes, shoes and haircuts, and families visiting each other.
But business was slow in the outdoor market of the Jebaliya refugee camp, where vendors set up stands with clothes and shoes. Hamed Abul Atta, 22, a shoe salesman, said he hadn't made a single sale in the first three hours after opening.
Abul Atta said he and his family were staying with relatives after fleeing the Shijaiyah district of Gaza City, which has seen heavy fighting. He said a cousin and three other relatives were among dozens of people killed there last week.
"We can't feel any joy right now," he said when asked if he would mark the holiday.
Meanwhile, the Israeli military acknowledged firing a mortar shell that hit the courtyard of a U.N. school in Gaza last week, but said the yard was empty at the time and that the shell could not have killed anyone.
Palestinian officials have said three Israeli tank shells hit the school in the town of Beit Hanoun on Thursday, killing 16 people and wounding scores. The school served as a shelter for Palestinians displaced by the Gaza fighting. At the time of the incident, witnesses said they were being urged to evacuate because of nearby clashes.
Lt. Col. Peter Lerner, an Israeli army spokesman, said Sunday that a military probe shows that "a single errant mortar landed," but that it is "extremely unlikely that anybody was killed as a result of this mortar."
Thirty seconds of footage released by the military showed what it said was the empty courtyard and a blast, apparently from the mortar. It was impossible to determine exactly when the footage was filmed.
Israel said it had warned people to leave the area for days ahead of time. The U.N. said it had been trying to achieve a humanitarian pause in the fighting to allow the evacuation of civilians from the area.
Photos from the scene shortly afterward showed bloodstains and people's belongings strewn about.
Despite the high death toll, the Israeli military says it is doing its utmost to prevent civilian casualties, including by sending evacuation warnings to residents in targeted areas, and blames Hamas for putting civilians in harm's way.
More than 160,000 displaced Palestinians have sought shelter at dozens of U.N. schools, an eight-fold increase since the start of Israel's ground operation more than a week ago, the U.N. said.
President Barack Obama has spoke by phone on Sunday with Netanyahu about the situation in Gaza. The White House says Obama told Netanyahu that the United States is growing more concerned about the rising number of civilian deaths, but he also reiterated that Israel has a right to defend itself against Hamas rocket attacks.
Hamas and other militants in Gaza have fired more than 2,400 rockets at Israel since hostilities began on July 8, many deep into the Israeli heartland and toward most of the country's major cities.
Israeli airstrikes have destroyed hundreds of homes, including close to 500 in direct hits, according to Palestinian rights groups. Entire Gaza neighborhoods near the border have been reduced to rubble.
A 12-hour lull Saturday - agreed to by both sides following intense U.S. and United Nations mediation efforts - saw Palestinians return to neighborhoods reduced to rubble and allowed medics to collect close to 120 bodies, Palestinian health official Ashraf al-Kidra said.