"I'll just say the reports today are erroneous," Graves told The Associated Press late Friday. "We have not received any offers today with respect of Anquan."
Graves said the team received an offer on Thursday, "and it's nothing we were thinking about seriously." He declined to identify the team that made the offer.
The disgruntled Boldin wants a new contract, and at the start of last year's training camp, he accused the team of reneging on a promise for a new deal. At that time, he said he would never re-sign with the Cardinals, although his position seems to have softened since he helped the team reach the Super Bowl.
"Our position is still the same," Graves said. "That is we expect at some point we're going to sit down with him and talk with him about an extension."
Potential trades linking Boldin with numerous teams have been rumored since the Cardinals announced earlier this month that they would listen to offers for the three-time Pro Bowl wide receiver.
Graves denied a report that the Cardinals had lowered their demands in a trade for Boldin.
"We've never stated any demands," Graves said, "so I'm not sure how you can lower it from there."
Asked if it was more likely than not that Boldin would be in Arizona next season, Graves said, "We'll see how things go tomorrow, but that's my expectation."
Boldin has two years left on his four-year, $22.25 million contract. He made $4 million last season. By comparison, teammate and fellow Pro Bowl wide receiver Larry Fitzgerald is in the second year of a four-year, $40 million deal, with $30 million guaranteed.
The Cardinals want to address contracts for linebacker Karlos Dansby and safety Adrian Wilson before turning their attention to Boldin. Because of salary-cap issues, Boldin might not have his chance until 2010.
Fitzgerald said Friday that he doesn't believe Boldin wants to leave Arizona.
"I don't think he really wants to go," Fitzgerald said. "He's been out there six years. His family is comfortable; his son is in school. There's a lot of things that I think will be conducive for him to stay.
"But this is a business. You never know what's going to happen."
The Cardinals have the 31st overall pick in the draft Saturday.
Copyright 2009 by The Associated Press