"Mr. President, I hope by saying "near future" you mean you will support the House-passed package to #EndTheShutdown that the Senate will vote on tomorrow", Pelosi wrote.
"Pelosi had asked Trump to delay the speech until after the shutdown, but the White House tried to ignore the request, announcing Trump would move forward with the January 29 date. This is her prerogative - I will do the Address when the Shutdown is over", Mr. Trump tweeted.
"Pelosi's decision to ignore this long-standing American tradition is absurd, petty, and shameful", Graham's statement concluded.
But former House Speaker Newt Gingrich, an informal adviser to the president, argued it could be a positive step.
The House of Representatives has to invite the president and authorise Trump's speech. Trump said he was prepared to back a three-year extension of protections for 700,000 immigrants who came to the country illegally as children and were shielded from deportation under the Obama-era Deferred Action for Childhood Arrivals (DACA) program. "I agreed", Trump tweeted.
As a possible parallel, Garvin pointed to the feuding between then-President Bill Clinton and then-House Speaker Newt Gingrich, when the government was shut down because Clinton vetoed Congress' proposed budget.
The clash between two of Washington's most powerful leaders has escalated the standoff that has partly closed the government for 33 days and threatens the USA economy and the livelihoods of about 800,000 federal workers.
In their standoff, Trump has also accused Pelosi of behaving "irrationally", while Pelosi has refused to negotiate with Trump on border funding until he agrees to reopen the government.
In his letter Wednesday, Trump wrote: "I will be honoring your invitation, and fulfilling my constitutional duty, to deliver important information to the people and Congress of the United States of America regarding the State of our Union".
Speaking to journalists Thursday evening from the White House during an event about trade, Trump said he was open to a compromise with Democrats that reopens the government if it includes a "prorated down payment" on the border wall that has been the sticking point in the ongoing funding impasse.
Trump has repeatedly claimed that Republicans are unified in their effort to the build a border wall, and that it's the Democrats who are breaking apart on the issue.
"Understand the impact of the unity of our caucus", Pelosi told them, according to an aide in the room unauthorized to discuss the private meeting by name.
In an exchange with reporters Wednesday morning, White House press secretary Sarah Sanders said that the Secret Service and the Department of Homeland Security had "satisfied" the safety concerns raised by Pelosi, without giving further details. "We have a separation of powers here", said Representative Jamie Raskin of Maryland.
"And so, what we are saying is, open up government".
The shutdown, which has seen some 800,000 federal employees left without pay for a month, was triggered by Trump's refusal to sign funding bills in December, in retaliation for Democratic opposition to funds for extending walls along the US-Mexico border.
The truth remains- both sides unable to come to an agreement -as two bills will be voted on in the senate today-neither expected to pass.
He added that he looked forward to it "in the near future!" "Schumer and Senate Democrats have made clear to Leader McConnell and Republicans that they will not support funding for the wall, prorated or otherwise". "I could have gone to a big auditorium and gotten 25,000 people in one day and you've been there many times".