Thune Bill / amendment to be considered this week
Story here. While the story is a little unclear, it sounds as if his proposal is to have national reciprocity, so that person with a permit in one State can carry in other States, and it seems to provide that if your State doesn't require a permit for (open or concealed carry? unclear) then it wouldn't required elsewhere. It'll likely be offered as an amendment to the Defense Authorization Bill.
Whatever it provides, it has Schumer foaming at the mouth, so it must be wise policy.