Divisions are emerging between some Democrats concerned by the prospect of deploying more US forces to Afghanistan and some Republicans urging the Obama administration to follow the advice of top generals and increase troop levels.
President Obama told the group that his assessment would be "rigorous and deliberate" and that he would continue to work with Congress in the best interests of US and international security.
According to one White House source, he told the meeting that he would not shrink the number of troops in Afghanistan or opt for a strategy of merely targeting al-Qaeda leaders.
But he would not be drawn on sending additional troops - which his top commander in Afghanistan, General Stanley McChrystal, requested last week.
Democratic Speaker Nancy Pelosi said that there had been some agreement but also some "diversity of opinion" during the talks.
Former Republican presidential candidate Senator John McCain urged Mr Obama to take heed of the advice given by generals on the ground.
A US official, quoted by Reuters news agency, said of the meeting: "He... made it clear that his decision won't make everybody in the room or the nation happy, but underscored his commitment to work on a collaborative basis."
The BBC's Mark Mardell, in Washington, says there appears to be a frustration that the review of strategy has some times been portrayed in black and white terms of a massive increase or reduction of troop numbers.
Dr Anthony Cordesman, an adviser to General McChrystal, told the BBC the decision was much more complex than was being portrayed.
"It is a very big decision and it involves a great deal more than simply troop levels.
"There's a decision as to what strategy to pursue, how committed to stay in Afghanistan, how to deal with Nato and Isaf [International Assistance Security Force] allies, how to reshape the aid programme - and how to deal with the future of the Afghan government.
"So this is much more than simply a military strategy decision."
By the end of 2009 there will be a total of 68,000 US troops in Afghanistan, based on current deployment plans.
This page is best viewed in an up-to-date web browser with style sheets (CSS) enabled. While you will be able to view the content of this page in your current browser, you will not be able to get the full visual experience. Please consider upgrading your browser software or enabling style sheets (CSS) if you are able to do so.