BERLIN — Protesters flashing Nazi salutes and shouting “Foreigners out” clashed Monday night with counterdemonstrators chanting, “Refugees welcome,” in a second night of violence in the east German city of Chemnitz that left several people injured and a country dismayed over images of rioting.

The police in Saxony said on Tuesday that several people had been treated for injuries sustained in the clashes Monday night. Ten people are being investigated for giving the Hitler salute, they said.

The violence first broke out on Sunday, after nationalists and far-right soccer fans called on supporters, including on social media, to take to the streets to “defend” their country from immigrants after the killing of a 35-year-old German man.

Chancellor Angela Merkel expressed her condolences to the victim’s family and condemned the violence, telling reporters in Berlin on Tuesday that she had seen videos of demonstrators “going after people, riotous assemblies and hate in the streets.”