“The burnings are deeply offensive and reckless acts committed by few individuals. These few individuals do not represent the values the Danish society is built on,” Rasmussen said separately in a statement.

“The Danish government will therefore explore the possibility of intervening in special situations where, for instance, other countries, cultures, and religions are being insulted, and where this could have significant negative consequences for Denmark, not least with regard to security,” he said.

Denmark and Sweden have found themselves in the international spotlight in recent weeks following anti-Islam protests where the Quran, the Muslim holy book, has been damaged or burned, offending Muslims around the world.

Both countries have said they deplore the burning of the Quran but cannot prevent it under rules protecting free speech.

In his statement, Rasmussen added that whatever measure was taken “must of course be done within the framework of the constitutionally protected freedom of expression and in a manner that does not change the fact that freedom of expression in Denmark has very broad scope”.