You could contact try to contact Korpen. They arrange leagues on a very low level. I believe the players never train, just play matches. Typically some colleagues from a workplace, but not limited to that. I see some "ads" for players in their facebook flow so maybe they can find a team for you.
There are leagues for five-a-side and "standard" 7-player football so be specific about what you're interested in.
http://www.korpenmalmoif.se
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