Beckham was absent for each of the Giants' 10 OTAs, which concluded Friday.
The New York Daily News' Pat Leonard noted Beckham's continued absence would've cost him $80,405 if he had chosen to skip minicamp.
ESPN.com's Bill Barnwell argued the Giants have a lot of leverage when it comes to Beckham's contract situation: "They know they have Beckham under contract for the next two seasons at just $10.3 million combined, which is a bargain. Even further, they can use the franchise tag to keep Beckham around in the years to come. My estimate is that the franchise tag for wideouts in 2019 will come in at $18.3 million."
Beckham really isn't yet in a position where he can force the Giants' hand.
On Tuesday, Giants co-owner John Mara said the team wants Beckham to finish his career with the team.
For the time being, though, the Giants have little incentive to finalize a new contract with Beckham unless they can agree to terms that would represent a relative bargain in the long run.
Barnwell noted Antonio Brown signed a five-year, $42.5 million extension with the Pittsburgh Steelers in 2012 when he was two years away from becoming an unrestricted free agent. Considering he emerged the league's best receiver after signing the deal, Brown arguably cost himself money by agreeing to the extension.
Barring a similar move by Beckham, it's doubtful a new contract is coming anytime soon.