The packages were found at an Athens postal office and were addressed to European Union finance officials and European businesses.
This is the third similar incident in the space of a week involving Greece and people involved in the bailout talks.
Authorities found eight packages with explosives Monday that were intended for European recipients, a police spokeswoman confirmed. They were addressed to various politicians and officials including people from the EU and European central bank, the reports said.
The action in Germany was claimed by a Greek anarchist group known as "Conspiracy of fire cells". The news came after a domestic militant group last week sent mail bombs to the International Monetary Fund and the German finance ministry.
Brother urges public to keep sharing missing Elizabeth Thomas' photo
They also encourage those around campgrounds, parks and other isolated areas to remain vigilant for any sign of Thomas or Cummins. It has been nearly a week since the Amber Alert was issued for 15-year-old Mary Catherine Elizabeth Thomas and Tad Cummins .
In both cases, the packages listed as senders members of the New Democracy opposition conservative party. Another was intercepted by German authorities on Wednesday before it could reach German Finance Minister Wolfgang Schaeuble.
The parcels had been falsely labelled as being sent from academic institutions and were believed to contain explosives linked with fireworks manufacturing, which have been used in previous attacks.
Eight parcel bombs have been found and neutralised by police in Greece.
Police crackdowns have since resulted in a series of arrests and prosecutions but a message posted online claimed the group's "comrades" would continue their violent struggle in Operation Nemesis - a campaign of attacks in revenge for the imprisonment of activists.