The statement noted that the two factions discussed developments in the ongoing negotiations through international mediators.
Israeli strikes across the Gaza Strip had killed no fewer than 60 people overnight, medics told Palestinian media on Tuesday.
WHO representative for the Occupied Palestinian Territory, Rik Peeperkorn, said he had seen children who looked years younger than their age.
The senior official said that during a meeting, Prime Minister Benjamin Netanyahu had said the new plan marked a shift in strategy.
Israel resumed its blockade on the entry of food, water, medicine, fuel, and other supplies on March 2.
A shaky ceasefire has been in effect between Hezbollah and Israel since the end of November.
Egypt, alongside Qatar and the United States, has been acting as a mediator between Israel and the Palestinian Islamist group Hamas.
Mr Trump had moved to cancel the student visas of all Hamas sympathisers on college campuses after signing an executive order to combat anti-Semitism.
The discussions on regional threats come amid concerns over the potential resumption of hostilities in Gaza.
The Israeli army said two suspects approached Israeli troops in the south of the Gaza Strip and posed an immediate threat, prompting the soldiers to fire at them.
