Enforcement of the existing measure is being considered due to concerns about the spread of more infectious forms of Covid-19 to the country.
“We want you to go into isolation for 10 days if you have been travelling abroad and come home. If you don’t (isolate) there will be an option to issue a fine or other punishment,” justice minister Nick Hækkerup told broadcaster DR.
The government is therefore backing calls from the Conservative and Socialist People’s (SF) parties to enforce quarantine for returning travellers.
Discussions will take place with other parties to sound out the possibility of voting the measure through parliament.
Under current guidelines, international arrivals in Denmark are asked to take a rapid Covid-19 test on entry and to isolate for 10 days, but this is a recommendation and not a requirement.
The 10-day period of isolation can be cut short if a PCR test taken after four days returns a negative result.
Denmark also currently requires all passengers boarding flights to the country to produce a negative Covid-19 test taken within the last 24 hours prior to departure.
The Confederation of Danish Industry (DI), which an interest organisation for Danish businesses, said it was “completely behind the motivations” for the proposal, but was concerned about the potential implications for business travel.
“What we are particularly keeping an eye on is the length of any new quarantine requirement. If it is ten days, we will probably think that’s too much – unless there is a medical reasons for this,” DI Transport director Michael Svane told news wire Ritzau.