The Giants play at the Indianapolis Colts Saturday.
Beckham, the No. 12 pick in this year's draft, missed the first three weeks of training camp with a hamstring injury. He returned to practice this week and joined live, 11-on-11 drills Wednesday.
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Last year, in his junior season at LSU, Beckham caught 57 passes for 1117 yards and eight touchdowns.
The Giants open the regular season on Sept. 8 at the Detroit Lions.
- Alex Hampl