Found on the Financial TLDs web site, the .LEI Top-Level Domain is a highly technical concept which means "Legal Identifiers".
It is explained here
It is possible .LEI could be changed to .LEGID, also possibly because the word "lei" in Portuguese means "Law" in English and there is a .law new gTLD project.
Wednesday, January 25, 2012
.LEI Top-Level Domain
I am a new gTLD Consultant based in Paris. "New gTLD" stands for "new generic Top-Level Domains" from the ICANN new gTLD program. They are new domain name extensions such as ".consulting" (instead of ".com").