The Falcons signed Grant to a one-year deal Saturday, Tom Pelissero of NFL Network reports.
Grant missed all of 2023 after suffering a ruptured patellar tendon in the preseason. He had a tryout with the Giants in July, but he will now head to Atlanta to compete for a return specialist role with the Falcons. His last full season was in 2021, when he played 15 regular-season games between the Dolphins and Bears, accumulating 250 punt return yards and one touchdown while adding 11 catches for 132 yards and two touchdowns.