Is there any way to reestablish a copyright once it has lapsed ?

Answer 1

What makes you think it has lapsed? Are you dead?

In Berne countries the term is based on the life of the author, plus fifty years. In EU countries, that has been extended to life plus 70 years. Newer (post 1978) US copyrights are also based on life of author. Registrations from 1964 and newer have been automatically renewed by act of congress, however you should keep the Copyright Office notified with your contact information in order to collect mechanical rights for music recordings. Copyrights registered from 1925 to 1963 required periodic renewals. If not timely renewed then the rights fall into public domain.

There are very few exceptions allowing recovery of rights once in public domain.

I am assuming you are the original author. If what you mean by lapse is your contract with the original author has expired or you failed to keep in force, then those rights revert back to the author.

Answer 2

No, once a copyright has lapsed (normally around life of author + 70 years), the work of authorship goes into the public domain.