The 21-year-old Beckham hauled in 59 passes for 1,152 yards and eight touchdowns in 2013 for the Tigers. He declared for the draft after his junior season. Beckham averaged 178.1 all-purpose yards in final season in Baton Rouge.
The Bills have the No. 9 overall pick in Round One and also select ninth in Round Two (No. 41). They have selected three wide receivers on the second day of the draft in the last two years, taking Robert Woods and Marquise Goodwin in 2013 and T.J. Graham in 2012.
The Bills also met with Cumberlands (Ky.) running back Terrance Cobb and Rice cornerback Phillip Gaines on Thursday.