In a statement from the Prime Minister's staff, it is written that Israel's demands are in line with Trump's "vision".
"We will cooperate fully with the President and his team to end the war", the statement says.
On Friday, a message came from Hamas that they are prepared to negotiate further on the release of all hostages.
Donald Trump welcomed Hamas' message and said during the night to Friday Swedish time that he believes the terrorist-designated organization is "ready for peace". He also demanded that Israel stop the bombing of Gaza immediately.
According to Trump's plan, all hostages, alive and dead, should be returned within 72 hours after an agreement is reached. Hamas has however said that they do not see it as possible to return both hostages and remains within that time frame.