Three weeks remain to cut a deal before the automatic tax hikes and spending cuts of the fiscal cliff go into effect on January 1.
It also was their first one-on-one meeting in more than a year, when talks broke down on a comprehensive agreement to reduce the nation's chronic federal deficits and debt.
In a rare display of bipartisan concurrence, both sides issued identical statements after the meeting that said no details would be forthcoming. Staff on both sides also have been talking, but few details were available.
"I'm willing to compromise a little bit," Obama said Monday in a campaign-style speech to a Michigan diesel engine plant.
However, he continued to insist on higher tax rates on the wealthiest Americans, saying "that's a principle I'm not going to compromise on."
Boehner's spokesman, meanwhile, said the latest Republican offer -- which rejects Obama's call for rates to rise on the highest tax brackets -- remained the GOP position.
The outline for a deal has become clear in recent weeks. Both sides agree that more revenue from taxes should be part of the equation, with Obama seeking $1.6 trillion and Republicans offering $800 billion.
However, Boehner's side wants additional revenue to come from tax reform, such as eliminating some deductions and loopholes, while Obama demands the higher tax rates on income over $250,000 for families as part of the equation.
Boehner and Republicans also seek savings from entitlement programs such as Social Security, Medicare and Medicaid totaling another $800 billion or so, while Obama has proposed $400 billion in reduced entitlement costs. Social Security would not be included.
Another sticky issue -- whether the need to raise the federal debt ceiling early next year should be part of the discussion -- also appears unresolved.
Obama says absolutely not, while Boehner says that any increase in the federal borrowing limit must be offset by spending cuts.
It remains unclear if a deal will happen before the end of the year or if the negotiations will carry over into 2013, after the fiscal cliff takes effect.
While economists warn that going over the fiscal cliff could lead to recession, the administration has signaled it can delay some of the effects to allow time to work out an agreement.
Without action now, the nonpartisan Tax Policy Center estimates that middle-class families would pay about $2,000 a year more in taxes.
Even with a deal, revisions in the tax code and other changes would mean everyone pays a bit more starting next year.
All signs point toward a two-step approach sought by the newly re-elected Obama.
An initial agreement reached now would extend current tax rates for most people while letting rates return to higher levels of the Clinton era on the two highest income brackets.