This paper deals with the attempts of parsing Modern Greek language and the techniques used. Most attempts are described without being thoroughly analyzed for the purpose of reviewing and comparing methods. The desire to use Link and Relational Grammars for the syntactic analysis of Greek language is also stated. Link Grammar has a robust algorithmic structure, while Relational Grammar present results in a standard and commonly understandable manner. Therefore, their combination is expected to facilitate the presentation of results in a more user-friendly manner, and to exhibit a better processing efficiency.