At last week’s league meeting, NFL owners rejected a proposal to re-seed the postseason and give wild card teams the chance to host first-round playoff games.

The proposal failed because most owners felt it would cheapen the accomplishment of winning a division. But the motivation behind it — to make sure late-season games are important — remains a priority within the NFL.

Peter King of SI.com reports that one proposal the NFL might consider to ensure fewer meaningless Week 17 games is to schedule division games at the end of the season. That could involve a preponderance of games between teams in the same division in December, or possibly even nothing but division games in the last couple of weeks.

It’s not clear how much support such a proposal would have. Adding more division games at the end of the season would, of course, mean fewer division games earlier in the season, and there might be some concerns that such a proposal would make September and October less interesting.

But King says increasing the number of division games late in the year is something the league office very much wants to do.