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Arsenal manager Mikel Arteta says captain Martin Odegaard has suffered a "quite significant" ankle ligament injury.
The midfielder limped off during Norway's Nations League win over Austria on September 9.
Odegaard had gone down in pain after hurting his left ankle following a foul by Christoph Baumgartner midway through the second half.
He returned to Arsenal for an MRI scan and missed his side's 1-0 win at Tottenham in the north London derby on Sunday.
Odegaard's injury means the 25-year-old will miss the trip to Italy and his second-placed side's visit to leaders Manchester City in the Premier League on Sunday.