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The second picture is indeed a species of the genus Geomyza; a female. It looks like Geomyza nartshukae Carles-Tolr?, 1993, but especially in the south of Europe specimens of Geomyza tripunctata Fall?n, 1823 may also have a rather reddish thorax. To be really sure about the identity you need to study the shape of sternite 8, which is only possible if you have collected the specimen. I suppose you have not collected it!? Still my best guess would be G. nartshukae. I have seen specimens collected by Rondani from Italy, so there is no doubt that this species occurs in Italy.

Jan Willem