Under the Companies (Amendment) Act 1983 (the "1983 Act") limited companies which had previously converted to unlimited companies could not subsequently convert back to limited companies. 

This was because S 53(I) of the 1983 Act only permitted an unlimited company to convert to a limited company where the company had not already converted from a limited company to an unlimited company by virtue of Section 52 of the 1983 Act.

Under the Bill there appears to be no restriction in Part 20 to such re-registrations.  This will be helpful if a group of companies want to unravel a non-filing structure where they had previously converted limited companies to unlimited companies which is something that cannot be done under current legislation.