US Secretary of State Marco Rubio is meeting Israeli Prime Minister Benjamin Netanyahu in Jerusalem, with the aftermath of Israel's strike in Qatar expected to be high on the agenda.

Last week's strike, which targeted senior Hamas leaders on the close US ally's territory, drew international outrage and was criticised by President Donald Trump.

Rubio earlier said: "Obviously we're not happy about it. The president was not happy about it. Now we need to move forward and figure out what comes next."

The meeting comes as Arab leaders hold a summit in a show of support for Qatar. Its prime minister urged the international community to stop applying "double standards" and to punish Israel.

The Gulf state hosts a major US airbase and has played a key role in brokering diplomatic efforts to end the war in Gaza, serving as a mediator of indirect negotiations between Hamas and Israel.

On Sunday, Netanyahu told reporters that the US-Israel relationship was as "durable as the stones in the Western Wall" while he and Rubio made a short visit to the holy site in Jerusalem's Old City.

During the visit - on which they were accompanied by US ambassador to Israel Mike Huckabee - Rubio wrote a note and placed it into the wall. Both men ignored reporters' questions focusing on Israel's strike in Qatar.

Also expected to be under discussion between the pair are Israeli military plans to seize Gaza City and Israel's continued expansion of settlements in the occupied West Bank.

Over the weekend, the Israeli military pressed ahead with the demolition of residential buildings in Gaza City, and - according to Israeli media - is now poised to begin ground operations in western neighbourhoods of the city.

The Israeli military has demanded that Gaza City's residents leave and head south to a central area of the strip. It has estimated about 250,000 Palestinians have fled, though hundreds of thousands are believed to remain in the area.

Some residents they cannot afford to go south, while others say southern Gaza is not safe as Israel has carried out air strikes there too. Some have said they attempted to go south but were unable to pitch their tents, so returned to Gaza City.

The meeting comes ahead of a UN General Assembly meeting next week, at which some leading US allies - including the UK, France, Canada, Australia and Belgium - are expected to recognise the State of Palestine.