US envoys met Israeli Prime Minister Benjamin Netanyahu on Monday aiming to corral Israel and Hamas to get the Gaza ceasefire plan back on track after an explosion of violence over the weekend that threatened to derail the week-old truce.

Israel and Hamas have both recommitted to the ceasefire plan brokered by US President Donald Trump since Sunday's flare-up in which a Palestinian attack that killed two soldiers prompted an Israeli bombardment killing dozens of people in Gaza.

Palestinian medics said at least three more people had been killed by Israeli tank fire near the "yellow line" inside Gaza on Monday.

The latest events reflected the stumbling blocks to keeping the long-sought ceasefire from unravelling and securing a lasting peace after two years of war in Gaza.

Key questions of Hamas disarming, further Israeli troop pull-backs and future governance of the Palestinian enclave remain unresolved.

Trump told reporters the "Hamas situation" would be handled quickly but that he had not told Israel to "go in and take care of it."

He said that while Hamas was in violation of the agreement, he did not believe its leadership was responsible but that it was facing "some rebellion" in its ranks.

If Hamas leaders do not straighten it out, "we're going to eradicate them if we have to," Trump said at the White House, while insisting actions would not involve US troops on the ground.

During their visit that began on Monday, the US envoys, Steve Witkoff and Trump's son-in-law Jared Kushner, were expected to try to shore up the truce then start talks on the next, more difficult, phase of the 20-step plan.

US Vice President JD Vance was also due to visit Israel on Tuesday, with Netanyahu saying the pair would discuss regional challenges and opportunities. (Reuters)