The rare meeting in Amman comes as US Secretary of State John Kerry is pushing to get the Palestinians and Israelis to agree on a framework to guide peace talks forward.
His proposals include a security plan for the border between a future Palestinian state and Jordan, involving high-tech equipment to enable Israel to reduce or end its troop presence on the ground, Israeli media say.
"King Abdullah and Netanyahu discussed peace process developments in light of the current US-sponsored Israeli-Palestinians peace negotiations," a palace statement sad. An official told AFP the talks took place today.
Kerry left the region last week following four days of intense meetings with Israeli and Palestinian leaders, during which he failed to secure an agreement on a framework.
The US official coaxed Israelis and Palestinians back into direct negotiations last summer and has since shuttled tirelessly between the two leaderships in a bid to keep the talks alive.