A diplomatic source, speaking on condition of anonymity told the French news agency that the two heads discussed ways to renew peace negotiations between Israel and the Palestinians.
The Prime Minister’s office did not confirm or deny the report.
Netanyahu’s visit to Jordan, comes a week after violence and protests against Israel in the West Bank were set off, sparked by the death of Jaradat, 30. The PA blamed Israel, saying Jaradat was tortured to death.
The last meeting between the two reportedly took place in a few months ago, when Netanyahu traveled to Amman to discuss Syria’s stockpiles of chemical weapons.
Direct peace talks between Israel and the Palestinian Authority have been frozen since 2010, over Israel’s illegal settlement activities.
The Palestinians demand a settlement freeze as a precondition for talks, while Israel has called for immediate talks with no preconditions.
The latest talks between Netanyahu and Abdullah come ahead of an expected visit by US President Barack Obama.
It will be Obama’s first visit to Israel since taking office in January 2009.
The Tel Aviv regime has increased its illegal settlement expansion following an upgrade of Palestine’s status at the UN to a non-member observer state in November.
The Israeli regime plans to build more than 5,000 new settlements in East al-Quds despite objections from the international community.
Much of the international community considers the settlements illegal.