Defensive end Osi Umenyiora was back with the Giants on Monday after agreeing to a restructured contract last week.
Umenyiora will make $6.5 million in 2012, a source told NFL.com's Albert Breer. That's considerably more than the $4.7 million that Umenyiora originally was scheduled to make next season in the final year of his deal.
He had skipped the team's offseason program until now, but still has three OTAss and a minicamp before the Giants break until training camp.
"There is never any question about Osi preparation-wise," coach Tom Coughlin said. "He is a tremendous studier of the opponent. He knows exactly what his thoughts are going into the game and how the game plan fits. He will always do that, but to get back into a football frame of mind - and a positive one at that - it is a very good thing."
Umenyiora, 30, has 69.0 career regular season sacks, fourth on the Giants' all-time list.
Meanwhile, Coughlin said there are "four or five" guys who have flashed during the offseason program to date. He pointed out cornerback Michael Coe, wide receiver Ramses Barden, linebacker Adrian Tracy and rookie running back David Wilson as some of the young players who have stood out.
On the injury front, cornerback Prince Amukamara (foot) has been cleared to resume individual work, while offensive tackle Will Beatty continues to battle a back injury that might sideline him until training camp. Free agent defensive tackle Shaun Rogers has been at the team's facilities learning the defense, but hasn't done on-field work while dealing with an elbow injury.
The Giants will get a break from the offseason program to visit the White House on Friday in honor of their Super Bowl victory in February.
"We are excited. It is always something that we look forward to," Coughlin said. "It is a great honor to go to the White House - to be invited by the President of the United States - to have our Super Bowl 46 and World Championship team go and be in the presence of the President and the historic White House. And I'm sure that all of our players and all of our organization will be very excited about going. We will take great memories from our opportunity to visit with the President."