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Vilma and Smith traveled to Washington after playing in New Orleans’ 23-13 loss at Atlanta on Thursday night.

The NFL has described Vilma and Smith as ringleaders of a performance pool designed to knock targeted opponents out of games. The league has sworn statements from Williams and Cerullo saying Vilma offered $10,000 to anyone who knocked quarterback Brett Favre out of the NFC championship game at the end of the 2009 season.

NFL Commissioner Roger Goodell issued the initial suspensions, which also included a full-season ban for Saints head coach Sean Payton.

Lawsuits brought by Vilma and the NFL Players Association to challenge Goodell’s handling of the case, including his decision in October to appoint Tagliabue as the arbitrator for the appeals, are pending in federal court in New Orleans.

On Thursday, U.S. District Judge Ginger Berrigan gave the parties until Monday to answer questions about whether the NFL’s collective bargaining agreement prevents a commissioner from handing out discipline for legal contact, and whether the CBA’s passages about detrimental conduct are “ambiguous, hence unenforceable.”

In March, the NFL announced that its investigation showed the Saints put together a bounty pool of up to $50,000 to reward game-ending injuries inflicted on opponents. “Knockouts” were worth $1,500 and “cart-offs” $1,000 _ with payments doubled or tripled for the playoffs, the league said.

According to the league, the pay-for-pain program was administered by Williams, with Payton’s knowledge. At the time, Williams apologized for his role, saying: “It was a terrible mistake, and we knew it was wrong while we were doing it.”

Later that month, Payton became the first head coach suspended by the league for any reason _ banned for all of this season without pay _ and Williams was suspended indefinitely.

Williams was known for his aggressive, physical defenses as a coordinator for Tennessee, Washington, Jacksonville and New Orleans, and during his time as head coach of Buffalo. In January, he was hired by St. Louis to lead their defense.

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