Israel's Prime Minister Benjamin Netanyahu said he believed his discussions with U.S. President Donald Trump on Monday would help advance talks on a Gaza hostage release and ceasefire deal, as Trump predicted an agreement could be reached this week.

Israeli negotiators taking part in the ceasefire talks that resumed in Doha on Sunday have clear instructions to achieve a ceasefire agreement under conditions that Israel has accepted, Netanyahu said on Sunday before flying to Washington.

"I believe the discussion with President Trump can certainly help advance these results," he said, adding his determination to ensure the return of hostages held in Gaza and to remove the threat of the Palestinian militant group Hamas to Israel.