Hamas-run health authorities have said nearly 60 people have been killed in new Israeli attacks on Gaza, while residents reported heavy shelling.
According to foreign media, the Israeli army issued evacuation orders for people in large areas of the north on Monday, leading to further displacement.
Israeli officials are expected to arrive in Washington for a new attempt at a ceasefire promoted by the Trump administration.
Salah, a 60-year-old father of five from Gaza City, told Reuters: "On the news we hear that a ceasefire is close, on the ground we see death and hear explosions."
"The explosions never stopped; they bombed schools and houses. They felt like earthquakes," he continued, writes A2 CNN.
Health authorities said 10 people were killed in Zeitoun and at least 13 were killed southwest of Gaza City.
Doctors said most of those 13 people were hit by gunfire, but residents also reported an airstrike.
They also said that 20 people, including women, children and a local journalist, were killed in an Israeli airstrike on a beachfront cafe in Gaza City.
The IDF ordered people to head south, saying it planned to fight Hamas militants operating in northern Gaza, including the heart of Gaza City.
Donald Trump has urged Israel and Hamas to agree to a ceasefire, as the number of Palestinians killed in Gaza reached 56,500, according to the Hamas-run health ministry, which does not distinguish between civilians and fighters in its count.
"MAKE THE DEAL IN GAZA. RETURN THE HOSTAGES!!!", he wrote on social media on Sunday, writes A2 CNN. (A2 Televizion)