US President Donald Trump's forceful backing of ally Israel has put the ceasefire under strain, and particularly his proposal to take over the Gaza Strip and remove its Palestinian inhabitants.
After the ceasefire came into force, Trump touted a plan to "clean out" the Gaza Strip, reiterating the idea on Monday as he called for Palestinians to move to "safer" locations such as Egypt or Jordan.
Israel had been preventing vast crowds of Palestinians from using a coastal road to return to northern Gaza, accusing Hamas of violating the truce agreement by failing to release civilian women hostages.
As the ceasefire took effect on Sunday morning, thousands of displaced, war-weary Palestinians set off across the devastated Gaza Strip to return home.