Wenger felt the pass was "accidental" and that Hansson allowed the Gunners no time to defend the free-kick.
Atletico Madrid boss Javier Aguirre refused to condemn referee Hansson for the late penalty decision which cost his side victory.
However, Hansson lost the ball under pressure from Villa, who calmly scored with an angled shot from just inside the area.
But the turning point of the match occurred seven minutes after the break when Fabianski picked up the ball from what Hansson judged to be a backpass from Campbell.
Stanislav Manolev went down in the Rangers box after being closed down by Bartley but Swedish referee Martin Hansson told the PSV midfielder to get back on his feet.
Sweden's attack sorely lacked the physical presence of Ibrahimovic, and Larsson just failed to meet Petter Hansson's cross at the far post in the 79th minute for his team's best opportunity.
After an indirect free-kick was awarded, Hansson let the hosts take it quickly and Ruben Micael rolled the ball across for Falcao to side-foot home while Arsenal were still attempting to reorganise.
Referee Martin Hansson and his assistants failed to see Henry's offence and Trapattoni questioned the appointment of the officials, as well as Fifa's decision to seed the play-off draw at late notice.
The teams seemed content with a draw that would have helped both, but Sweden was caught out when Capdevila sent a 40-meter pass over the head of Torres and into the path of Sweden defender Hansson.
Wenger was incensed, thinking the pass had been accidental, and was even allowed a prolonged conversation with referee Martin Hansson - the same official who missed Thierry Henry's handball in France's win against the Republic of Ireland last year.
This is a bigger-than-normal-blog deal because Hansson is a partner at a design outfit called 37signals, like Groupon based in Chicago and a creator and popularizer many of the tools used in Web 2.0 (Wired has a good story on them here.) Amazon.com founder Jeff Bezos is an investor and advisor.
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