Gaza ( CNN ) -- An Israeli delegation has been ordered home from talks in Cairo aimed at ending the conflict in Gaza , a senior Israeli official said Tuesday , shortly after the Israeli military blamed militants in Gaza for breaking a truce . Palestinian negotiators placed the blame for the lack of progress in the talks on the Israelis . `` The Israeli delegation is still trying to impose ( upon us ) what they want , and this would be impossible for us to accept as Palestinians , '' said Azzam Al Ahmad , head of the Palestinian negotiators . The Palestinians introduced their latest position to Egyptian and Israeli negotiators on Tuesday , and are awaiting a response , Al Ahmad said . By late Tuesday , the armed wing of Hamas -- the Qassam Brigades -- said on its website that it had fired 29 rockets into Israel in 20 minutes . The Israel Defense Forces , in response , launched airstrikes and ordered bomb shelters open within a 40- to 80-kilometer range of Gaza . At least three people , including one infant , have been killed , and 52 people have been injured since the breakdown of the ceasefire , according to the Health Ministry in Gaza . As rocket attacks and airstrikes resumed , one interpretation of the Israelis leaving Cairo was that they had given up on negotiations . Another Palestinian leader , Izzat Risheq , looked at it another way , saying the Israelis took the newest proposal home with them to share with their government . `` The chances of an agreement are very slim , and the situation is very difficult , '' he said . In the talks , Israel was calling for Gaza to be demilitarized , demanding that Hamas , which controls the territory , and other militant groups lay down their arms . Risheq said Monday that the group 's weapons were `` for self-defense '' against Israel . `` But when we have our own Palestinian state with its own national army to protect its citizens , there will be no need for any party to carry any kind of weapons , '' he said . Palestinians say Israel 's blockade is throttling the economy of the small , impoverished strip of land and the lives of its inhabitants . Among their demands are the rebuilding and reopening of Gaza 's airport and the establishment of a seaport . But Israeli authorities -- who retain control of Gaza 's airspace , Mediterranean waters and their shared border -- say releasing their grip on what goes into and out of the territory is n't feasible while Hamas and other groups are still building up their arsenals of weapons . Cease-fire unravels . The rocket fire came only hours after the ceasefire was extended until the end of the day , as Palestinian and Israeli negotiators , struggling to reach a more lasting agreement , reported little progress . Israeli Prime Minister Benjamin Netanyahu ordered the IDF to respond to the rockets , a senior Israeli official told CNN . An IDF statement shortly afterward said strikes were being carried out against targets in Gaza . Nine Palestinians , including three children , were wounded in an Israeli airstrike in Rafah , Ashraf el-Qedra , spokesman for the Palestinian Health Ministry in Gaza , told CNN . Al Aqsa TV reported airstrikes in northern and central Gaza , as well . The United States condemned the renewed rocket attacks , with a State Department official reiterating the U.S. position that Israel has a right to defend itself against such attacks . `` We hope that the parties can reach an agreement on a sustainable ceasefire , or if necessary , agree to yet another extension of their temporary ceasefire so they can continue in conversations , '' Marie Harf , deputy spokeswoman , said . `` But as of right now , today 's developments , we are very concerned about and it is our understanding that ... the ceasefire has broken down . '' Hamas blames Israel . A thick plume of smoke could be seen rising from a building in southern Gaza apparently hit by an Israeli airstrike . A CNN team on the ground also saw earlier what appeared to be three rockets being fired from Gaza into Israel , leaving smoke trails in the sky . Shortly before the rockets were launched , Hamas spokesman Fawzi Barhoum said in an e-mailed statement to CNN : `` If Netanyahu does not understand our message and people 's demands in Gaza through political language , we know a way to make him understand . '' A banner on the Hamas-run Al-Aqsa TV blamed Israel for violating the truce . The conflict , which began in early July , has killed more than 2,000 Palestinians , leaving entire Gaza neighborhoods in rubble . The violence has killed 67 people on the Israeli side , with militants in Gaza firing roughly 3,500 rockets toward Israel . CNN 's Frederik Pleitgen reported from Gaza , Jethro Mullen reported and wrote from Hong Kong , and Laura Smith-Spark wrote in London . CNN 's Reza Sayah , John Vause , Amir Tal and Andrew Carey contributed to this report .
NEW : Three people , including an infant , are reported killed in Gaza . Armed wing of Hamas says it fired 29 rockets into Israel . `` It 's our understanding that ... the ceasefire has broken down , '' a U.S. official says . Prime Minister Benjamin Netanyahu orders the Israeli military to respond to rocket fire .