Vilma is one of four players suspended for their role in the team's alleged bounty scandal. He was suspended for the 2012 season and has filed a separate defamation suit against Goodell.
Vilma and his attorney, Peter Ginsberg, left the June 18 appeal hearing with Goodell and the other suspended players -- Anthony Hargrove, Scott Fujita and Will Smith -- calling the session a "sham." The other three players returned to a meeting with Goodell after a delay of more than three hours.
"Roger Goodell has taken three months to tear down what I built over eight years," Vilma said on June 18. "It's tough to swallow. I have been linked to a bounty, and it simply is not true. I don't know how I can get a fair process when his the judge, jury and executioner. You're assuming it will be fair -- but it's not."
Goodell was granted an extension to respond to Vilma, to July 5.