The most recent rumor? Leonard Floyd may be a top-10 selection, meaning the Falcons will have no shot at him. With Atlanta's lack of draft picks to facilitate a trade up, it appears that Floyd will not be an Atlanta Falcon.
Per Ian Rapoport of NFL.com.
Player who is rising & appears headed inside the top 10: #UGA LB Leonard Floyd. Teams caught a small glimpse of his skill set in college
— Ian Rapoport (@RapSheet) April 27, 2016
Floyd has been connected to the Falcons pretty regularly for months, and seemed to be a possible pick team.