As a foreign driver (within EEA*) do you have the right to drive a snowmobile in Sweden if you have the right in your home country. If you cannot show it or if you come from a country outside the EEA, the only possibility is to be part of a group in the tourism industry or that you have a Swedish driver's license.
*EEA countries are the member states of the EU, as well as Norway, Iceland and Liechtenstein.