Over the past 15 years, Europe has been facing and trying to solve an increasingly growing problem, the phenomenon of migration. Of course, the countries in the most difficult position which have gathered a great number of immigrants and refugees are those in Southern Europe, such as Greece, which are essentially the "host countries" of the European Union (EU). Although some northern European countries, such as Germany, France and Sweden, have shouldered some of the "burden", this is not enough. It therefore appears that while migration flows continue, the EU and its member countries have not found effective and often sustainable solutions to share the problem with an ultimate goal to address it more successfully. So, the questions that arise are: What policies and actions does the EU need to pursue? How can Greece deal with this problem?