The only integration done to date is that you may earn SM on DL marketed ITA operated flights. ITA does not recognize Medallion status among other limitations. Hopefully this will be improved soon though I am not counting on it given ITA lack of IT. DL is proposing to take a 5% stake in ITA so perhaps it will improve with time.

From sky team website:
Frequent Flyer reciprocity, including earning and redemption of miles, is based on bilateral agreements between ITA Airways and each individual SkyTeam member which are being progressively rolled out over the coming months.