When Vilma and Smith made an earlier attempt to appeal their punishments, Goodell refused to reduce their bans.
As Vilma, wearing a gray suit, headed out of the building Friday, a reporter told him that Smith indicated the hearing was helpful.
"Yeah? Well, we said that last time," Vilma replied, "and we saw how that turned out. So we'll see what happens."
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AP Sports Writer Brett Martel in New Orleans contributed to this report.
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