The intention of this paper is to shed some light on the mode of organization of the Albanian immigration in Greece. Firstly we intend to maintain a hypothesis of a non-communitarian organization of this particular migration. For this purpose we explore the Albanians' social networks. Then, we make a second assumption: their diffusion. in the urban space as well as the absence of any ethnic infrastructure suggest a spatial invisibility of the Albanians in the Greek city. Exploring the example of Thessaloniki, the second largest Greek city after Athens, we will maintain that Albanians' non-communitarian social insertion is reflected in the urban space: despite their large numbers in Thessaloniki, there is no evidence of any ethnicized district.