EAST RUTHERFORD -- For the first time since Aug. 18, Giants rookie wide receiver Odell Beckham was catching passes from quarterbacks Eli Manning and Ryan Nassib at a practice.

Beckham was on the field running routes at full speed and hauling in balls during the individual portion of practice on Tuesday. The first-round pick has struggled with a hamstring injury since June.

It still remains highly unlikely that Beckham would play Thursday night against the Redskins. Tuesday is the Giants' only near-full-speed practice of the week, and coach Tom Coughlin and quarterback Eli Manning both hinted Monday that his return was a longshot to come in Week 4.

Beckham hadn't been cleared to practice in full as of Monday morning, even though he had been making progress of late. He likely will be listed as a limited participant (at best) in practice on Tuesday.

Beckham was seen running and cutting at full speed on a side field last week. The playmaking wide receiver hasn't played in a single preseason or regular season game for the Giants. He hasn't been a full participant in practice since Organized Team Activities in June.

Beckham was listed on the Giants injury list Monday as "Did Not Participate in Practice." With a game on Thursday night in Washington, the team only had a "jog-through," and the injury report was an estimation.

The more likely scenario remains that Beckham is a full participant at practice next week (and makes it through a few practices as a full participant) before being cleared for a game. The Giants have 11 days between their Thursday night matchup with the Redskins and their Week 5 contest with the Falcons.

Middle linebacker Jon Beason (foot/toe) was also a participant in the early portion of Giants practice as he tries to return after missing Sunday's victory over Houston. Punter Steve Weatherford (ankle) was the only notable player missing on Tuesday.

Rookie linebacker Devon Kennard (hamstring) was working on a side field with a trainer.

Jordan Raanan may be reached at jraanan@nj.com. Follow him on Twitter @JordanRaanan. Find NJ.com Giants on Facebook.