Smith previously talked with Falcons owner Arthur Blank before Friday's first meeting with the team's new general manager, Thomas Dimitroff.
Frazier, contacted by The Associated Press after Saturday's interview, wouldn't disclose details of the talks.
When asked if he has been approached by Washington or any other team, Frazier said "There were inquiries by a couple of different teams."
In his first season in Minnesota, the Vikings led the NFL in rushing defense but ranked last in passing defense.
Before moving to Minnesota, Frazier coached defensive backs in Indianapolis for Tony Dungy.
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