MPs from across the political spectrum have expressed concern about the involvement of children and young people in extremist movements.
"It is very worrying that young people are being drawn into extremely violent far-right activities, for example through martial arts. We should all be concerned about this phenomenon, including in Parliament," MP Veronika Honkasalo of the Left Alliance party told Yle on Thursday.
Honkasalo also called for the return of so-called exit programmes, which are designed to help people leave radical and violent extremist movements.
Petri Honkonen (Cen) said society should ensure that young people feel they have constructive, democratic ways to influence issues.
"That begins at school, home and across society as a whole – and also from the kind of example that politicians set," Honkonen noted.
The fallout from the violence at the May Day march has also led to a public debate in Finland about whether face coverings should be banned at demonstrations.
Finns Party parliamentary group leader Jani Mäkelä said his party supports a ban.
"Various extremist movements from the right and left, environmental activists and similar groups, have caused problems at public events. There has been disruption at the Parliament House, in which columns were defaced. These have been done in disguise. Such activities should be banned," Mäkelä said.
