Any foreign corporation may act in this State as trustee, executor, administrator, administrator to collect, guardian, or in any other like fiduciary capacity, whether the appointment is by will, deed, court order or otherwise, without complying with any laws of this State relating to the qualification of corporations organized under the laws of this State to conduct a trust business or laws relating to the qualification of foreign corporations, provided only (1) such foreign corporation is authorized by the laws of the state of its organization or domicile to act as a fiduciary in that state, and (2) a corporation organized under the laws of this State, a national banking association having its principal place of business in this State, and a federal savings and loan association or federal savings bank having its principal place of business in this State and authorized to act as a fiduciary in this State, may, in such other state, act in a similar fiduciary capacity or capacities, as the case may be, upon conditions and qualifications which the Commissioner finds are not unduly restrictive when compared to those imposed by the laws of Illinois. Any foreign corporation eligible to act in a fiduciary capacity in this State pursuant to the provisions of this Act, shall be deemed qualified to accept and execute trusts in this State within the meaning of this Act and the Probate Act of 1975, approved August 7, 1975, as amended. No foreign corporation shall be permitted to act as trustee, executor, administrator, administrator to collect, guardian or in any other like fiduciary capacity in this State except as provided in Article IV of this Act; however, any foreign corporation actually acting in any such fiduciary capacity in this State on July 13, 1953, although not eligible to so act pursuant to the provisions of this Article IV, may continue to act as fiduciary in that particular trust or estate until such time as it has completed its duties thereunder.