The exact age threshold, however, has not been set yet, with propositions ranging from 13 and 16 years.
"In terms of the data protection regulation, the limit is 16 years, but at the national level, it may be defined anywhere between 13 and 16," the Justice Ministry's legislative councilor Anu Talus told Finnish national broadcaster Yle.
In practice, the age limit might mean that in the future underage users will have to secure the consent of their parents or guardians to sign up for social media services.
"If we use a national margin, of course it would be good to be in line with other relevant age limits," Talus said.
For instance, the age limit for criminal liability is 15 years in Finland.
Just before the Midsummer holiday, a Finnish Justice Ministry working group proposed new personal data protection legislation to complement the EU's General Data Protection Regulation. Both the national and the EU legislation will take effect from May 2018.
Last year, Interior Minister Paula Risikko ventured that Finland could soon get more online police officers as the Nordic country was looking to clamp down on hate speech.
Earlier this year, an extra 25 web police officers were recruited in Finland to tackle online crimes and hate speech.
The new web crime investigation unit is based in Helsinki, with each of Finland's 11 police departments reinforced by at least one web police officer.
The new web police will be paid and trained with additional funding from parliament approved in a supplementary budget. The police and the Finnish Security Intelligence Service SUPO supplementary will receive some 10 million euros in additional funding, of which 1.3 million euros is earmarked specifically for the online police.
Despite hate crimes being a hot topic in Finnish media, charges of hate speech are relatively rare, and convictions virtually non-existent. During the past five years, only 14 such cases have been prosecuted in Finland.
The idea of web policing has since triggered criticism among Finnish social media users, with some using the epithet "thought police."