According to the New York Times, the hour-long meeting took place at the Naval Observatory, with no aides present.
The purpose of the meeting is not known, but The New York Times reported on Friday that Biden was reaching out to potential campaign donors. Biden has said that he will make a decision on a run at the end of the summer.
Warren is seen as an influential Democrat. Clinton also met with Warren in December before launching her presidential campaign, and sought policy suggestions on several issues, including income inequality, according to The New York Times.
While Warren had publicly urged Clinton to run for president, the Massachusetts senator has stopped short of endorsing Clinton's progressive credentials.
This article has been updated with additional details about the meeting.
Also on HuffPost: