H.R.5782: To amend chapter 44 of title 18, United States Code, to provide for reciprocity in regard to the manner in which nonresidents of a State may carry certain concealed firearms in that State.

Secure Access to Firearms Enhancement (SAFE) Act of 2008 - Amends the federal criminal code to provide for reciprocity for the carrying of certain concealed firearms in different states by persons who are not prohibited by federal law from possessing, transporting, shipping, or receiving a firearm and who are: (1) carrying a valid state license or permit for carrying a concealed firearm; or (2) otherwise entitled to carry a concealed firearm in their state of residence.