The Bergen (N.J.) Record first reported that the shouting match between Shockey and Reese took place. A team source confirmed there was an argument between Shockey and Reese, although when it occurred was not clear, the New York Daily News reported.
Although the genesis of the disagreement is unknown, Shockey said last week he was unhappy the Giants made him sit in co-owner Steve Tisch's luxury box instead of letting him stay on the field during Super Bowl XLII. He also said the Giants spread rumors he wanted a trade.
Giants coach Tom Coughlin said Shockey's mental state hasn't gotten much better during the three-day minicamp, which finished Friday at Giants Stadium.
Shockey attended each day of the minicamp, but did not follow Coughlin's order to join the team on the practice field, though all of the other injured Giants were out there, according to the Daily News.
"There is an issue, but it is not something that would prevent him from working," Coughlin told the Record.
Drew Rosenhaus, Shockey's agent, was at Giants Stadium on Friday. He was asked if Shockey wanted to remain on the Giants' roster.
"I don't specifically have a way to address that at this time because Jeremy's been very adamant about avoiding any public discussion about a situation," Rosenhaus said, according to the New York-area media reports.
"The best thing I can say about Jeremy's situation is that we are talking to the team about some of the issues that exist and we hope to get that resolved."