The following types of residence permits may be submitted in Denmark, without being subject to a ban on future applications or forfeiting the collateral guarantee

The visa holder will not be subject to an application ban, nor will the guarantee will be forfeited, in the following situations, cf. Aliens Act § 4c, subsection 4 (ban) and §4, subsection 5 (forfeiture):

The application for residency concerns family reunification, and the visa holder is either the partner/spouse of the person who lives in Denmark, or is a child of the person who lives in Denmark and is under the age of 15, cf. Aliens Act § 9, subsection 1, nr.1 and 2;
There are special circumstances regarding application for residency, and the visa holder is either the partner/spouse of the person who lives in Denmark, or is a child of the person who lives in Denmark and is under the age of 15, cf Aliens Act § 9c, subsection 1;
The application for residency concerns a study permit in accordance with Aliens Act § 9c, subsection 1;
The application for residency is covered by the city of refuge ordinance (if the visa holder is engaged in literary activities and has been offered residency by a local council as part of its membership of an international organisation), cf Aliens Act § 9c, subsection 4.
If the applicant is seeking work in Denmark, and receives residency (i.e. if the visa holder fulfils the requirements for one of the following types of residency: Green Card Scheme, the Positive List, Pay Limit or Corporate Scheme, or if the visa holder has special skills), cf Aliens Act § 9a, subsection 1, nr.1-4 and § 6, cf subsection 2.
It would be inhumane to retain the guarantee.

Even if the application for residency is covered by the above-mentioned exceptions, a ban will still be imposed and the guarantee forfeited if the purpose of the application for residency is to avoid the guarantee becoming due for payment.

The same applies if the reason for applying is to extend residency, even though it is obvious that the applicant does not qualify for residency, cf Aliens Act § 4c, subsection 5 (ban) and §4, subsection 6 (forfeiture).