Some 13,015 refugees arrived in Munich yesterday alone, and at least 1,400 were expected today to reach the southern German city -- the end of their exhausting and often perilous journey through Hungary and Austria.
Germany has become the destination of choice for many refugees, particularly for Syrians after Chancellor Angela Merkel decided to relax asylum rules for citizens of the war-torn country.
However, with some 450,000 people arriving in Europe's biggest economy so far this year, local authorities are buckling under the sudden surge.
Federal transport minister Alexander Dobrindt also weighed in, saying "effective measures are necessary now to stop the influx".
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"That includes help for countries from where refugees are fleeing and also includes an effective control of our own borders which also no longer works given the EU's complete failure to protect its external borders," he said in a statement.
Dobrindt was essentially referring to the border between Turkey and Greece, where many migrants have crossed.
Merkel herself had called on Athens yesterday, while facing its own deep economic crisis, to make more effort to protect the EU's external borders.
The Organisation of Islamic Cooperation is also due to hold an emergency meeting on the crisis.
While Jordan, Lebanon and Turkey are housing millions of refugees from Syria, many wealthy Gulf states are facing increasing scrutiny over their apparent reluctance to take in people fleeing the conflict.
In Munich, order had largely returned to the city's main railway station on Sunday even though the federal interior ministry said 13,015 people had arrived over the past day.
The president of the Upper Bavaria region, Christoph Hillenbrand, said he did not know "how we can cope", according to the Bild am Sonntag tabloid which headline its article "Munich on the brink of collapse".