"I vigorously urge the young people and their supporters to regain their composure," Espersen said.
"Their anger must not unleash violence and vandalism," she said.
In the southwestern Swedish city of Malmo, police arrested three people on Friday in connection with the Copenhagen clashes, the Swedish news agency TT said. They were held on suspicion of planning to participate in violent protests and possession of explosives and flammable material.
Sympathy protests were held in Germany, Norway, Sweden and Finland.
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