Vilma said on Twitter that the new ruling "this is not news to me pride won't let him admit he's wrong." Smith issued a statement saying he will continue to explore his appeal options.
Vilma's attorney, Peter Ginsberg, said in a statement that Goodell's new ruling "continues his previous grossly misplaced interpretation of the 'evidence.' What the Commissioner did today is not justice, nor just. The suspension has the fingerprints of lawyers trying to fit a square peg into a round hole."
The players were implicated in what the NFL said was a bounty pool run by former Saints defensive coordinator Gregg Williams and paid improper cash bonuses for hits that injured opponents. The players have acknowledged a pool but denied they intended to injure anyone.
The players can delay their suspensions by appealing again through their labor contract, which they have three days to do. They could also ask a federal judge in New Orleans to revisit their earlier request for an injunction blocking the suspensions.
Goodell, meanwhile, stood by the substance of the investigation began when allegations were first brought to the league's attention three seasons ago.
"The quality, specificity and scope of the evidence supporting the findings of conduct detrimental (to the game) are far greater and more extensive than ordinarily available in such cases," Goodell said in a memorandum to the 32 clubs.