Greece is the country of “Xenios Zeus”, the Ancient Greek god of foreigners and hospitality; however, it is also the main point of entry to Europe. Since the beginning of 2014, 1,112,332 refugees crossed the borders of Greece. Overall, 33,677 children and adolescent refugees sought asylum in Greece from 2013 to 2017, while 57,042 refugees are currently being hosted. The rapid entry of refugees into Greece raised the critical issue of health policy. The Greek National Health Service (NHS) faces many challenges. Adequate economic and human support is essential if this situation is to be managed successfully. However, Greece still bears the burden of the economic downturn since 2009. In fact, the crisis led to shortages in crucial equipment, and unmet health needs for both locals and refugees. The NHS deals with traumatic experiences, as well as cultural and linguistic differences. Overcrowded reception centers and hotspots are highly demanding and are associated with severe disease burden. This highlights the importance of guidelines for medical screening, healthcare provision, and a well-managed transition to definitive medical facilities. Furthermore, non-governmental organizations make an essential contribution by ensuring appropriate support to refugee minors, especially when they experience poor access to the NHS.