The talks follow last week's bombings in the Jordanian capital that killed 57 people, mostly Jordanians. Al-Qaeda claimed responsibility for the attacks.
Duleimi criticized Syria for allegedly permitting militants train on its soil for attacks in Iraq. Syria has denied the allegation.
Iraq and Jordan last month signed a bilateral security agreement.
RFE/RL Expert Discusses Mideast Violence
'PEOPLE TAKING TO THE STREETS': There are reasons to suspect that Abu Mus'ab al-Zarqawi's group is trying to spread violence in Iraq to Jordan and other parts of the Middle East. We examine why in this interview with JOYCE DAVIS, an expert on the Middle East and associate director of broadcasting at RFE/RL. Davis is the author of the books "Martyrs: Innocence, Vengeance And Despair In The Middle East" (2004) and "Between Jihad And Salaam" (1998) .... more