HR 822, the National Right-to-Carry Reciprocity Bill, has been reintroduced with the hope that the new Congress will be more enthusiastic about passing it. The current bill provides that anyone who has a valid firearm carry permit can use that permit in any other state that issues concealed weapons themselves, provided they are not a resident of the ‘other’ state. You would still be under all the same rules and restrictions of the state you were visiting though (magazine limits, pistol free areas, etc). This bill also covers Washington, D.C., Puerto Rico and U.S. territories.
Congress is empowered in the constitution to enforce all amendments, including the second, so this is not an overreach of federal power. We’ll keep an eye on this to see what changes the bill may get it moves forward.