BERLIN (AFP) - Police in Berlin on Sunday (Feb 10) were investigating two separate assaults against young girls believed to have been motivated by anti-migrant hatred.

An unknown man repeatedly punched two Syrian girls, aged 15 and 16, in the face in Berlin's eastern Marzahn district late on Friday afternoon, before running away. Both girls were briefly treated in hospital for their injuries.

According to a police statement, the man allegedly "insulted both girls with anti-foreigner comments" before attacking them.

In a second incident in the capital's Neukoelln area on Friday evening, an unidentified woman allegedly tried to pull the headscarf off a 12-year-old girl, pulling her hair while voicing xenophobic sentiments, Berlin police said.

The woman also allegedly threatened the girl with pepper spray "and tried several times to stab her with a syringe that appeared filled with blood", according to the statement.

The woman managed to abscond before police arrived on the scene.

Germany has been deeply polarised by Chancellor Angela Merkel's 2015 decision to open the country's borders to those fleeing conflict and persecution at the height of Europe's migrant crisis.

Since then, the influx of over a million asylum-seekers - mainly from Syria, Iraq and Afghanistan - has fuelled the rise of the far-right, anti-Islam AfD party. High-profile crimes involving migrants have sparked angry protests in recent years.

A 50-year-old German man was last month charged with attempted murder after he drove his car into groups of foreigners in the cities of Bottrop and Essen.

Eight people were injured in the rampage, including a four-year-old Afghan boy and his mother, as well as a 10-year-old Syrian girl.