Ala. Code § 26-2A-160

If a conservator has not been appointed in this state and no petition in a protective proceeding is pending in this state, a conservator appointed in the state in which the protected person resides may file in a court of this state in a [county] in which property belonging to the protected person is located, authenticated copies of letters of appointment and of any bond. Thereafter, the domiciliary foreign conservator may exercise as to assets in this state all powers of a conservator appointed in this state and may maintain actions and proceedings in this state subject to any conditions imposed upon nonresident parties generally.