Although MMA was not legal in Sweden a few years ago, MMA is now legal, and there are legal MMA events throughout Sweden today.  The one sticking point with the UFC would be that elbows are not permitted on the ground.

Swedish Budo & Martial Arts Federation
Swedish Budo and Martial Arts Federation is included in the Swedish Sports Confederation (Riksidrottsförbundet), and organises most East Asian martial arts since the beginning of the 1960s.
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Swedish MMA Federation
Swedish Mixed Martial Arts Association was formed on March 27, 2007. The purpose of the federation is to administer and promote American Mixed Martial Arts (MMA) by collecting all Swedish MMA associations and through the administration of Swedish MMA rules.
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“So it’s tough going for a Viking in 2008, but there’s signs of hope too. This year, Sweden’s MMA community has rallied together to re-attain legal status.”
The Last Viking” Prepares For a New Battle
Thomas Hackett / total-mma.com / March 30th, 2008
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History of MMA in Sweden from The Zone FC
The Zone Fighting Championship is a series of professional MMA events taking place in Sweden. The Zone FC is arranged by Varyags Combat Sports in cooperation Gladius MMA with and is sanctioned by the Swedish MMA Federation.

The first show took place in Stockholm Sweden on the 9th of February 2008 beeing the first MMA event in Sweden since the so called martial arts law was introduced on the 1st of January 2007.

The second show, The Zone FC ‘Showdown’, took place on the 10th of May in Gothenburg Sweden. It was the first time ever professional MMA was presented on the westcoast of Sweden.

A third show, The Zone FC ‘Shockwave’, took place on the 8th of November in Gothenburg Sweden. It even surpass the huge success of The Zone FC ‘Showdown’ and presented one of the best MMA shows ever in Scandinavia!

Next up is The Zone FC ‘Dynamite’ that will take place the 25th of April 2009 once again in Gothenburg Sweden.

For more information about The Zone FC, visit site.