Prime Minister Mette Frederiksen, along with Minister of Justice Nick Hækkerup and Minister for Immigration and Integration Mattias Tesfaye, will on Thursday present the government's proposals to introduce stricter rules on the area.
Newspaper Berlingske reports that the proposals will include a ban on entering Denmark as well as a contact ban for persons convicted of terrorism.
As such, in cases where a parent is convicted as a foreign militant, the government will be able to give full custody to the non-convicted parent, broadcaster TV2 writes.
Stricter legislation on the issue has already been introduced by the governing Social Democrats following their victory in last year’s general election.
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That includes a highly-debated expedited law which enables the immigration minister to revoke without legal process the passports of citizens who have fought for militant groups abroad. Individuals can appeal against the decision through the courts.
The law allows the government to strip passports and rights from Danes who have, for example, fought for militant group Islamic State (Isis) in Syria.
Three people with dual citizenship have had their Danish passports revoked under the law since it came into force.
Parliament will next week consider a second controversial bill. The latest bill would deprive children of Danish parents the automatic right to become Danish citizens if they are born in areas where a terrorist organization is involved an armed conflict.
Critics of the proposal have said that such a law risks making children stateless.
“I hope that there will be no further interventions to the rule of law. Or that new rules will interfere with existing rights. Or that we have to take even more rights away from children,” Social Liberal immigration spokesperson Kristian Hegaard said.
Hegaard added he hoped that the proposal would include “preventative” measures.