The 1982 United Nations Convention on the Law of the Sea (UNCLOS) is the principal international law document, which regulates the establishment of the maritime economic zones, namely the Continental Shelf (CS) and the Exclusive Economic Zone (ΕΕΖ) as well as any issues that may come up during their delimitation. Maritime delimitation issues are settled either through state agreements or through legal redress before the respective international tribunals. In this context, the aim of this paper is to elaborate on the delimitation prospect concerning a Greek CS/EEZ based on contemporary conventional and customary international law of the sea, in addition to contemporary judicial decisions. More specifically, the analysis focuses on dispute issues in the region of the Aegean Sea and the Eastern Mediterranean, between Greece and its neighboring country Turkey, concerning the CS/EEZ delimitation. An attempt is made to critically compare this case to the outcome of recent relevant international judicial decisions by highlighting not only the common points but also any differences and complexities. The main purpose is to render the reader aware of the special treatment needed for the case in question, with the expectation for a fair future delimitation of the Greek maritime economic zones.