According to the Prime Minister's Office, the return of the emissaries was made possible thanks to close cooperation between Israel and Jordan during the last 24 hours.
Jordan said Monday it was looking to question an Israeli security guard who killed two Jordanians at the Amman embassy compound, as the Zionist entitty insisted he had diplomatic immunity. A police statement said "a large scale investigation" has been launched and the Prosecutor General has been "ordered... to look at all the details".
Tensions have risen following the July 14 attack that killed two policemen.
Jordan is the official custodian of Muslim holy sites in Jerusalem. Israel denied this charge.
"In principle I'm always in favor of the public's right to be informed, but if it reaches a point of a life-threatening situation, I fully accept the idea of censorship and even gag orders", he said.
He told reporters after briefing the U.N. Security Council behind closed doors Monday that it is "critically important" that the status quo which has been in place at the site since 1967 is preserved.
Israel frequently razes or seals attackers' homes as a deterrent, although rights groups say this amounts to collective punishment.
Crowds carried pictures of the teenager along with Palestinian and Jordanian flags, chanting "Death to Israel" and "We will go to Jerusalem as martyrs by the millions".
The Israeli cabinet on Sunday approved plans to build a memorial for Revisionist Zionist leader Ze'ev Jabotinsky in Jerusalem.Expected.
The legislators' walkout reflected widespread anger in Jordan over the shooting, and the unpopularity of its peace deal with Israel. Israeli authorities imposed reporting restrictions in the immediate aftermath.
The newspaper Haaretz says that Jason Greenblatt is expected to arrive on Monday in the Trump administration's first direct foray into the crisis.
On Friday evening, a Palestinian broke into a home in a Jewish settlement in the West Bank during a Sabbath dinner and stabbed four Israelis, killing three.
Deadly demonstrations against Israel's security measures ensued.
The security source in Amman had confirmed earlier that two Jordanians were killed in a shooting in the area of the embassy.
It said the measure will "ensure the security of visitors and worshippers" at the holy site and in Jerusalem's Old City.
Arab League secretary-general Ahmed Aboul Gheit warned Israel was "playing with fire".
The removal of the detectors was meant to end more than a week of Muslim protests, including mass street prayers.
"Israeli soldiers are defiling al-Aqsa with their combat boots by using simple excuses to easily shed blood there", he said at an AKP faction meeting, referring to the mosque that sits on the mount along with the Dome of the Rock.
Control of Al Aqsa mosque and the surrounding compound, known as Haram Al Sharif, remains a vital issue for Jordan.
He added: "Jordanians need to calm the situation in Amman".