Senator Elizabeth Warren and Senator Bernie Sanders met Wednesday night at her condominium in Washington to discuss their political intentions but did not reach any accord about coordinating their dueling presidential ambitions, according to two Democrats briefed on their discussion.

Only the two senators were present and they stated what has become abundantly clear: that they are both seriously considering seeking the Democratic nomination in 2020. But neither Ms. Warren nor Mr. Sanders sought support from the other or tried to dissuade the other from running, said the officials familiar with the meeting.

Ms. Warren sought the sit-down and did so as a courtesy and because they have a longstanding friendship that is rooted in candor, according to one Democrat close to the Massachusetts senator. Her office declined to comment about the meeting.