In June 2010, a Rwandan citizen, Francois Bazaramba, was sentenced in a Finnish court of first instance, to life imprisonment for acts of genocide committed in Rwanda in 1994. This was the first time that the provisions of Finnish law dealing with genocide had ever been applied in a court. This article examines the details of this case, as well as the Finnish legislation on genocide, jurisdiction and extradition. Many of the questions considered in this article are not only typical for Finland, but have a more general bearing as well. For instance, the issues relating to the transfer or extradition of fugitives to Rwanda have recently been considered in several national and international jurisdictions. A trial conducted in a national court on the basis of universal jurisdiction reveals in a concrete way the advantages and disadvantages of this form of prosecution.