The public meeting comes amid speculation that former President Bill Clinton and Hillary Clinton are concerned about the fallout as Weiner struggles to regain a foothold in the race for New York City mayor after new revelations emerged about his lewd online behavior.
Reports citing many close to the Clintons said the couple was angered by comparisons between their marriage and that between Weiner and Abedin and over personal concern for Abedin.
Abedin served as Hillary Clinton's deputy chief of staff at the State Department and the two women remain close friends.
Weiner has so far resisted calls to drop out of the mayoral race even after admitting that he had continued to send sexually-explicit messages to young women after his 2011 resignation from Congress for similar behavior.
The Clintons have not commented publicly on the race.
The meeting between Abedin and Reines came on the same day that Hillary Clinton met with President Obama for a private lunch at the White House. While the White House said their talk was mostly “social” it raised further speculation about Clinton’s 2016 plans.
The former secretary of State is the clear frontrunner for the Democratic presidential nomination, although she has yet to say whether she will even weigh a run.