The command-post exercise took place in Rovaniemi and Rovajarvi in northern Finland between August 29 and September 2.
It was staged against the backdrop of the war in Ukraine, which has sharpened minds across Europe about security on the Continent in the face of Russian aggression.
Defence Secretary Ben Wallace said: “Whilst there is war in Europe, it is more important than ever to strengthen our international partnerships.
“We welcome Finland and Sweden’s application to join Nato and will continue to exercise together so we are ready to face shared security challenges.
“Exercise Vigilant Knife is an invaluable opportunity for UK personnel to develop their skills and experience of warfighting in cold weather conditions, enabling them to be effective on the battlefield alongside their Finnish and Swedish counterparts.”