Thomas Dimitroff, who was hired as GM last weekend, indicated the Falcons might have their man by the end of this week.
If that's the case, Garrett and former Baltimore Ravens defensive coordinator Rex Ryan would appear to be at the head of the list. They are the only two candidates who have had a second interview.
One day after spending more than six hours meeting with the Ravens about their coaching vacancy, Garrett was in Atlanta for the first time to talk again with the Falcons after a first interview in Dallas, said a person familiar with the search, speaking on condition of anonymity because no decision had been made.
Whoever gets the job will take over a franchise in disarray, largely the result of Michael Vick's federal prison sentence for dogfighting. The team slumped to a 4-12 this season and faces a major rebuilding job.
Dimitroff and owner Arthur Blank have the final say on a new coach, though team president Rich McKay, who previously served as general manager, also has been involved in the dual process to find both a GM and a coach.
"We're looking for a very good leader. We're looking for a very good football mind," Dimitroff said.
This will be Atlanta's sixth head coach since 2002.
Without Vick, the offense ranked 23rd in total offense (301 yards per game) and 29th in scoring (16.2 points).
Garrett oversaw a Dallas offense that ranked second in the NFL with 455 points and third in total offense (365.7 yards).
The Falcons also interviewed Indianapolis assistant head coach Jim Caldwell, Jacksonville defensive coordinator Mike Smith and Tennessee defensive coordinator Jim Schwartz.
Atlanta talked with Dallas assistant head coach Tony Sparano, but he signed on as the Dolphins' new head coach Wednesday.