At a training camp rally, Cowboys owner Jerry Jones told fans gathered they should come watch his team "beat the New York Giants' asses" this season.
The Giants didn't respond until Thursday.
"He should," Giants linebacker Mathias Kiwanuka said of Jones on New York's WFAN-AM. "I mean, the Giants have been whupping his ass for a long time."
The Giants are 3-0 in Cowboys Stadium and have won six of the last 10 meetings.
"It's gotta be tough on the outside looking in on all of these championships lately," Kiwanuka said, alluding to the Giants' two Super Bowl titles in the last five seasons. "That's the feeling I feel like everybody in the league has and everybody should have because we're here on top and everybody should be wanting to knock you off."
The Cowboys seem to have developed some hatred for the Giants over the summer. It started with Jones' comments and continued with outside linebacker DeMarcus Ware saying he couldn't even talk during the team kickoff luncheon because he was so excited to play the Giants.
Even Dez Bryant said he couldn't wait to play the Giants as he walked into the locker room after Wednesday's preseason finale against Miami.
Ware and Bryant aren't really talking smack. However, the Giants' recent success against the Cowboys has stuck in their craw.
The only way to change something of this nature is to beat the Giants, and the Cowboys could be shorthanded come the season opener on Sept. 5.
Tight end Jason Witten (spleen), nose tackle Jay Ratliff (ankle), wide receiver Miles Austin (hamstring) and Bryant are battling injuries. Witten and Ratliff are the more serious and their status for the opener is in question.