My copy of the book "The Official Guide to Gunmarks" indicates this stamping was used as a trademark by EIG of Miami, FL, on certain guns they imported. They also used another trademark that consisted of several concentric circles, similar to the design on the grip inlay of your handgun. The book listing for that company says they imported small autoloading handguns and revolvers around 1967. If that's the case, the Gun Control Act of 1968 may have driven them out of business, as it severely restricted imports of small/cheap handguns after it took effect.
My copy of the Blue Book does not list an importer under that name/initials, so I'm guessing they didn't bring in very many guns or they'd have at least a token listing. Maybe someone else here has heard of them?