A senior Bush administration official says President Bush has not directly asked any country to provide additional troops for peacekeeping efforts in Iraq.
But, briefing reporters in New York, the official said Mr. Bush has used two days of meetings with foreign leaders at the United Nations to request help with Iraq's reconstruction.
The official added the Bush administration is not in any hurry to win passage of a new UN resolution expanding the UN role in Iraq.
Mr. Bush was scheduled to hold separate meetings on Iraq's future Wednesday with several heads of state, including the leaders of India, Pakistan, Ghana and Mozambique.
Earlier Wednesday, Mr. Bush and German Chancellor Gerhard Schroeder met on the sidelines of the UN General Assembly for their first face to face talks since the bitter dispute over the Iraq war last year.
The two leaders pledged to put aside past differences and work together for a strong and stable Iraq.
Mr. Schroeder was steadfast in his refusal to commit German troops. He did, however, renew a German offer to help train Iraqi police and security personnel in Germany.
Chancellor Schroeder will address the UN General Assembly later Wednesday, and is expected to call for a greater role for the UN in rebuilding Iraq.
He is expected to be less strident in his language on a new draft UN resolution than close ally, French President Jacques Chirac.
On Tuesday, Mr. Chirac condemned the Bush administration for invading Iraq without authorization by the UN Security Council. In an address to the General Assembly, Mr. Chirac called for a "realistic timetable" for the US-led occupation to return sovereignty to the Iraqi people.
Mr. Bush also addressed the UN General Assembly Tuesday, and he urged member states to set aside past differences over the Iraq war and work together to rebuild the country. He said UN members should now work together and assist Iraq in developing a constitution, training civil servants and conducting fair elections.