With Pressley, the Falcons roster totals 90 players.
The Falcons were reported to host Pressley along with running backs David Cobb and Bralon Addison for a workout on Wednesday morning, according to Draft Diamonds.
A fifth round pick out of Minnesota, Cobb was selected by the Tennessee Titans in the 2015 NFL Draft.
In four seasons at Minnesota, Cobb rushed for 2,896 yards and 20 touchdowns. At the 5-foot-11, 220 pounds, Cobb rushed for 1,629 yards and 13 touchdowns in his senior season.
Addison recorded 1,937 rushing yards and 22 total touchdowns in his three years at Oregon. The 5-foot-10, 190 pound running back also served as a returner for the Ducks, averaging 12.2 yards per punt return and 18.3 per kick return.
Addison briefly played with the Denver Broncos and Chicago Bears after his junior season at Oregon in 2015.