While it remains to be seen what, if anything, Commissioner Roger Goodell and the N.F.L. are going to do about the controversial ending to the game Monday night between the Seattle Seahawks and the Green Bay Packers, the gambling world — which was boosted by the replacement referees’ decision on the game’s final play, as significant money was bet on the Packers — appears to be showing at least a little compassion.

One sports betting Web site was refunding wagers on the Packers, who appeared to be robbed of a victory after the league’s crew of replacement officials botched the final play of the game, ruling an apparent Green Bay interception in the end zone to be a Seattle touchdown instead.

The site, Sportsbook.ag, sent e-mails to some bettors — believed to be customers outside the United States — who had put money on Green Bay, alerting them to the unusual decision that their bets would be refunded in the form of a free play on the site. At least one bettor, writing on a Twitter account said to be that of the Canadian journalist Glen McGregor, posted a picture of his computer screen showing the message and quoted the Web site’s head oddsmaker, Russ Candler, as saying, “I can’t stand winning unfairly.”

The Packers were generally favored by about 3 points in the game, depending on when and where the bet was placed. With the Packers leading, 12-7, as Seattle quarterback Russell Wilson heaved his desperation pass toward the end zone, it seemed virtually certain that Green Bay would cover.