MFF can thank goalkeeper Zecira Musovic for the 2-0 loss.
It was never really close to the light blues beating Eintracht Frankfurt in the Champions League qualifiers.
It looked like Malmö would keep a clean sheet throughout the first half, thanks in large part to several hard-fought saves from Musovic. But with just five minutes left in the half, Frankfurt captain Laura Freigang slotted home from a corner to make it 1-0.
Malmö pushed forward in the second half and created a couple of chances to equalise.
But with a quarter of an hour left in the match, the scorer of the first goal put the final nail in MFF's coffin when she made it 2-0.
Malmö's Champions League campaign is over, but there is still hope of European football. They now enter the second qualifying round of the Europa Cup qualifiers, which begin in September.
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