Police Commissioner Seppo Kolehmainen told Yle that he will speak with the office of the prosecutor general about whether now is the right time to seriously consider outright banning neo-Nazi groups like the Finnish Resistance Movement (FRM).
If implemented, a ban on extreme right wing groups would reportedly not only affect registered groups, if such associations carry out illegal acts.
Last week a man died of injuries he suffered after allegedly being kicked in the chest by an FRM founding member at a demonstration in Helsinki a week earlier.
The incident resulted in many people across Finland calling for authoritative action against such groups.
The suspect in the assault was ordered to be held in remand by a Helsinki District Court on Wednesday, and faces charges of involuntary manslaughter.
"We are facing a new situation," Kolehmainen said Wednesday. "There hasn't been something like this in our court system in decades."
Deputy Prosecutor Raija Toiviainen said she is looking forward to what the National Police Board has to say on the matter.