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The strategy is being announced after months of meetings and consultations with Presidents Asif Ali Zardari of Pakistan and Hamid Karzai of Afghanistan, including personal discussions by Mr. Obama and Vice President Joseph R. Biden Jr. White House officials said they think they have convinced the two foreign leaders about the strategy.

A U.S. envoy will host bilateral meetings with Afghanistan and Pakistan every six to eight weeks. Trilateral meetings, such as the one Secretary of State Hillary Rodham Clinton held with the two nations, will be scheduled every quarter.

Mr. Obama will not give blank checks to the two nations, officials said.

“We’re certainly looking for performance and change in behavior on the Pakistani side,” an official said.

The officials who briefed reporters said they will not negotiate with Mullah Mohammed Omar, the former head of the Taliban government, but do see the potential to talk with some Taliban factions that could be encouraged to split off.

Mr. Obama’s aides described a grim picture of the situation, arguing the Taliban has made a “very significant comeback” in the past two years and al Qaeda remains a threat, seeking to attack the United States and its allies.

Mr. Holbrooke told reporters that Afghan President Hamid Karzai phoned the administration after the speech.

“[He] said he watched the speech live on CNN from Kabul … [and] was extremely gratified by it,” Mr. Holbrooke said, adding the Afghan leader would soon issue a supportive statement.