Trump said on Twitter he would also address the 'humanitarian crisis' on the southern border at 3 p.m. live from the White House.
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Trump and Democrats in Congress remain far apart over Trump's insistence on funding for a wall along the Mexican border as the price of reopening the government.
The two sides have traded taunts and avoided talks so far this week.
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The political stakes are high as the shutdown moves into a fifth week, with hundreds of thousands of federal workers going without pay and no outward signs of resolution.
The Associated Press contributed to this story.