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Another member of the Azeliini?
And therefore, given known options in Iceland...likely Thricops?

( Presuming not Anthomyiidae based on John Carr's comments here https://diptera.i..._id=114011 :
"There are 4 pairs of postsutural dorsocentrals. The very few Anthomyiidae with 4 pairs are very hairy. There is only one dorsal or posterodorsal bristle on the hind tibia. Very few Anthomyiidae have this character."

Not sure how to rule out Spilogona (?)

But the three species of Thricops known to exist here are:
Thricops cunctans (Meigen, 1826)
Thricops longipes (Zetterstedt, 1845)
Thricops rostratus (Meade, 1882)

If Thricops, not rostratus given lack of protruding chin.
Perhaps T.cunctans or T.longipes?