Chuck Schumer and Nancy Pelosi announced the meeting, scheduled for Thursday, in a joint statement.
The White House subsequently confirmed the dialogue would take place.
Schumer, the leading Senate Democrat, and Pelosi, the top Democrat in the House, suddenly called off a meeting with Trump last week after he derided them in a tweet.
They agreed Monday to a conversation with GOP leaders and the president on immigration reform and other thorny topics.
Now it’s not even talk.' Trump staged the photo-opportunity designed to embarrass the Democratic leadership after they snubbed a White House meeting where the looming government shutdown was on the table. 'I’m not really that surprised.''I'm not really that surprised, we have a lot of differences.