The shutdown began on Oct. 1 after Obama ruled out any concessions that would defund, delay or otherwise change the new health care law. He said he would be willing to negotiate on a range of issues, but only after the shutdown was ended and the debt limit raised.
Republicans drafted a long list of demands to accompany any increase in the debt limit, including some that would raise the cost of Medicare for better-off beneficiaries, make changes to the health care law and roll back several environmental regulations either issued or in the planning stages by the administration.
In recent days, the focus has shifted from the shutdown to the threat of default, and Republicans have spoken less and less frequently about insisting on concessions in the health care law.
The call for negotiations on long-term deficit cuts would mark a return to basics for the House Republican majority.
Shortly after taking control in 2011, the rank and file initiated a series of demands to cut spending, culminating in an agreement with Obama that cut more than $2 trillion over a decade.
After four years of trillion-dollar deficits, the 2013 shortfall is expected to register below $700 billion.
At the same time, the nation's debt rises inexorably. It was $10.6 trillion when Obama took office during the worst recession in decades, and has grown by $6.1 trillion in the years since.