HELSINKI, July 6 (Reuters) - Finland will allow travellers from abroad who are fully vaccinated, can show they have had COVID-19 within the last six months, or come from a country with a low infection rate to freely enter the country, the government said on Tuesday.  

Other potential visitors will have to take a COVID-19 test before entering Finland or at the border, then self-isolate on arrival and take another test after three days or face a fine, health officials told a news conference.  

Finland's borders have largely been closed for all but essential travel since the coronavirus pandemic started last year, to contain its spread.  

"All three previous infection waves have started from infections that came from abroad," the Nordic country's chief physician Markku Makijarvi said on Tuesday.  

The health ministry said the free entry list currently includes 13 countries that have recorded 10 or fewer new infections per 100,000 inhabitants in the past two weeks.  

The Finnish Health Institute had recommended entry be allowed from countries with a 14-day case notification rate of 25 or lower but the government chose to be more cautious.