A Master of Science in Engineering can require completion of a thesis and qualifies the holder to apply for a program leading to a Doctor of Philosophy (PhD) in engineering. (A Master of Engineering requires completion of a project and doesn't qualify its holder to apply for a PhD in engineering.) The Master of Science in Engineering is sometimes considered the equivalent of the diplom degree in engineering in countries that have that degree.
Equivalent degrees are:
Dipl.ing. (Diplomierter Ingenieur) before name - Austria
Ing. (ingenieur) before name - Czech Republic, Slovakia
Ir. (ingenieur) before name - The Netherlands/Belgium