40-Man Roster Down to 31
Of course, the other thing that can happen over those 14 days is that the team who a player filed for free agency has an exclusive negotiating window. The Twins could decide, for instance, to bring Reyes or Punto back into the fold -- and at least with Punto I'd go so far as to say I think this is likely (I'm not commenting in this article as to whether or not I think that's a good idea).
The only other thing about this process that's interesting is that it opens up more available slots on the 40-man roster which the Twins can use for protecting Rule 5 eligible players. The other day I mentioned that I thought the Twins would protect 3 or 4 guys -- but to be honest I forgot that the free agents were about to drop off the list. After Everett files, there will be 10 spots open, and the Twins will probably protect at least 6 guys from the Rule 5 draft using some of those spots. I'll have a post up on who those guys should be in the next few days.