One person was arrested following the incident, which took place at the Ratina shopping centre in the city of Tampere.
Police say they have cordoned off the scene, with victims being given first aid.
“The situation no longer poses a danger to outsiders,” a spokesperson for the local police force said in a statement.
This breaking news story is being updated and more details will be published shortly.
Please refresh the page for the latest version.
You can receive breaking news alerts on a smartphone or tablet via the Sky News app. You can also follow us on WhatsApp and subscribe to our YouTube channel to keep up with the latest news.