The standoff resulted in hundreds of thousands of federal employees being furloughed over the Christmas and New Year holidays - and for the foreseeable future until a deal is reached.
The President is seeking United States dollars 5.2 billion in funding for the wall which according to him is a must to prevent flow of illegal immigrants into the US.
"As we take the oath of office today, we accept responsibility as daunting and demanding as any that previous generations of leadership have faced", Pelosi said.
Democrats take over the US House of Representatives on Thursday (Jan 3), ushering in a new era of divided government in Washington with the goal of checking Donald Trump's turbulent presidency.
Pelosi told reporters at the White House after the meeting that she plans to go ahead with the Democratic legislation on a spending bill without funding for a border wall. Pelosi's trip to Hawaii became something of a talking point on conservative media outlets as President Donald Trump opted to spend his holiday break in the White House instead of traveling to his Palm Beach home Mar-a-Lago.
Democratic leaders mulled several proposals to re-open the government over the course of the last week before deciding to move forward with the full funding package.
Credit rating agency Moody's said the shutdown would cause minimal USA economic and credit market disruption but there could be a more severe impact on financial markets and the broad economy if the closure is protracted. There was no clear path to its end.
"Could be a long time or could be quickly", Trump said during lengthy public comments at a Cabinet meeting, his first public appearance of the new year. "It's too important a subject to walk away from".
China lands probe on far side of moon
For now, China plans to send a Chang'e 5 spacecraft to the moon next year and have it return to Earth with collected particles. Adding to the complexity of the mission, radio waves transmitted from the "dark" or far side of the moon do not reach earth.
Mr Trump made the border wall a key part of his presidential campaign and said Mexico would pay for it. Mexico has refused. But he was acquitted in the Senate, as no Democrat voted to convict - a scenario, some observers say, that would be likely to repeat in a Republican Senate should Trump be impeached. "This is health and wellness".
U.S. media reported that Mr Trump, when asked why he would not end the shutdown, had said: "I would look foolish if I did that".
The president has remained steadfast in his demands, telling Senate Minority Leader Chuck Schumer (N.Y.) in a meeting Wednesday that he would not back down.
"We know we have a challenge along the border".
While this restriction can be waived - the 2016 GOP tax cut got an exemption - progressive lawmakers say it would hamstring ambitious policies such as expanding Medicare and providing universal education.
On Twitter Wednesday evening, the president said the day's meeting had been an "important" one, adding that "Both parties must work together to pass a Funding Bill that protects this Nation and its people - this is the first and most important duty of government".
"This is the Trump shutdown, through and through".
"That is so ridiculous".
"I now call the House to order on behalf of all of America's children", Pelosi said.