That package contained a mixture of explosives that could have caused considerable damage and injury if anyone had opened it, the Berlin police said.

The German police said that the homemade bomb included material used in the production of pyrotechnics, and the German news media confirmed that the package bore Greek stamps and was sent from Attica, in the Athens area.

The package was marked as if it had been sent by Adonis Georgiadis, a prominent lawmaker and spokesman for the main Greek conservative opposition party, New Democracy. He is broadly perceived as backing some of the painful economic changes imposed on Greece by its international creditors — led by the monetary fund and Mr. Schäuble.

A spokesman for the Greek national police, Theodoros Chronopoulos, said it was “too early” to link the blast at the monetary fund’s Paris offices to the Greek terrorist group, which calls itself Conspiracy of the Cells of Fire.

But the Greek minister for public order, Nikos Toskas, said on Greek television that the French authorities had found similarities between the Paris and Berlin parcel bombs. Mr. Toskas said the Paris device had also been found to have come from Greece, and that it, too, was marked as if it had been sent by a New Democracy politician — this time, Vassilis Kikilias, a party spokesman and Mr. Toskas’s predecessor at the ministry.

The militant group that claimed the Berlin attack has described itself as a nihilist guerrilla operation, and it has been designated as a terrorist organization by Europol, Europe’s law enforcement agency, and by the United States Department of State.

The group has claimed responsibility for sending parcel bombs to several European leaders since the beginning of Greece’s economic crisis, including Chancellor Angela Merkel of Germany in 2010. It has condemned the austerity measures imposed on Greek society and pledged to fight “the system of power.” In its statement on Thursday, it claimed that it would “continue stronger.” But it did not mention the Paris attack.