A sign informs visitors that Federal Hall is closed because of the government shutdown in New York City, Jan. 3, 2019.
A sign informs visitors that Federal Hall is closed because of the government shutdown in New York City, Jan. 3, 2019.

WASHINGTON - President Donald Trump has invited congressional leaders from both parties for another White House meeting Friday on how to end the government shutdown, which is about to enter its third week.

Talks Wednesday went nowhere after both sides dug in their heels — Trump demanding $5 billion for a southern border wall, and Democrats saying not a dime.

House Democratic leader Nancy Pelosi (D-CA) is applauded by U.S. Rep. Steny Hoyer (D-MD) and other members as she is nominated for House Speaker as the U.S. House of Representatives meets for the start of the 116th Congress on Capitol Hill in Washing
New US Congress Grapples with Government Shutdown
A new, politically divided U.S. Congress is being sworn in and confronts an immediate task: ending a partial government shutdown that is nearing the two-week mark.A day of pageantry on Capitol Hill as Democrats take control of the House of Representatives and Republicans see their Senate majority bolstered.   House Democrats have pledged to pass a spending bill that includes border security funding, but omits money for wall construction along the U.S.-Mexico border, as demanded by President Donald…

"We can go back and forth," Democratic Speaker of the House Nancy Pelosi told NBC News. "How many more times can we say no? Nothing for the wall."

Pelosi accused Trump of holding the federal government hostage over his campaign promise to build a wall that he claimed Mexico would pay for.

"That is so ridiculous. A, Mexico's not paying for it. And B, we have better use of funds to protect our border. The president knows that," Pelosi said.

With some enthusiastic assistance from her grandch
With some enthusiastic assistance from her grandchildren, House Democratic Leader Nancy Pelosi of California smiles as she casts her vote for herself to be speaker of the House on the first day of the 116th Congress, at the Capitol in Washington, Jan. 3,

?Funding in the House

Pelosi planned to introduce two bills in the House Thursday night, one funding the entire government through September, including agencies that are now closed, and another funding the Department of Homeland Security through Feb. 8. The bills would reopen the government and spin off the deadlock over border wall funding for separate negotiations.

Senate Republican Leader Mitch McConnell called the planned House bills "nonstarters" and "political theater."

While Trump himself has not used the word "veto," a White house official said the president told Democratic leaders he would "look foolish" if he ended the shutdown.

U.S. President Donald Trump speaks to reporters ab
U.S. President Donald Trump speaks to reporters about border security in the Briefing Room at the White House in Washington, Jan. 3, 2019.

He is blaming Democrats for the current situation.

"The shutdown is only because of the 2020 presidential election," Trump tweeted Thursday. "The Democrats know they can't win based on all of the achievements of Trump, so they are going all out on the desperately needed wall and border security and presidential harassment. For them, strictly politics."

Trump said the country needs protection, and warned that crime, drugs and gangs were pouring into the United States from Mexico.

He also claimed there are as many as 35 million illegal immigrants in the United States, contradicting experts who say the number is far fewer.

Visitors walk past a sign for Everglades National
Visitors walk past a sign for Everglades National Park as they enter from overflow parking, Jan. 2, 2019, in Everglades National Park, Fla. Human feces, overflowing garbage, illegal off-roading and other damaging behavior in fragile areas were beginning to overwhelm some of the West's iconic national parks, as a partial government shutdown left the areas open to visitors but with little staff on duty.

Workers, parks suffer

?Meanwhile, 800,000 federal workers have been furloughed or working without pay for two weeks.

Garbage is piling up in national parks, which are officially closed as are most of Washington's top tourist attractions.

And while the shutdown has mainly been affecting federal workers' pocketbooks, millions of Americans across the country could soon feel it, too.

Federal workers who process and mail out income tax refunds are among those furloughed.

WATCH: No Deal to End Shutdown From Trump and Lawmakers