Ceasefire talks between Israel and Hamas, mediated by the United States, Qatar, and Egypt, have made progress but concluded without a final agreement, with discussions set to resume next week in Cairo. U.S. President Joe Biden expressed optimism, stating the parties are closer than ever to a truce, although significant work remains. The negotiations aim to halt the 10-month war in Gaza, which has resulted in over 40,000 Palestinian casualties, and prevent a wider regional conflict potentially involving Iran and Hezbollah. Sticking points include Israel’s demands for a lasting military presence in Gaza and Hamas' rejection of new conditions added by Israel. Despite Hamas not directly participating in the latest talks, they have been kept informed through mediators. The new proposal by the U.S. builds on previous agreements, seeking to bridge remaining gaps for a swift implementation of the ceasefire deal.