Del. Code tit. 12, § 1566

A domiciliary foreign personal representative who has complied with § 1565 of this title may exercise as to assets in this State all powers of a local personal representative and may maintain actions and proceedings in this State subject to any conditions imposed upon nonresident parties generally and provided that such domiciliary foreign personal representative complies with § 1905 of this title governing the filing of an inventory and appraisal of estate assets consisting of tangible personal property and real estate actually situated within this State.