Inter made a strong start to their Champions League campaign, with French forward Marcus Thuram scoring a double in a 2-0 win over Ajax in Amsterdam on Wednesday.
Atalanta, however, were thumped 4-0 by holders Paris Saint-Germain away from home.
Juventus battled out a thrilling 4-4 draw with Borussia Dortmund in Turin on Tuesday.
Italy's other representative in the competition, Serie A champions Napoli, visit English giants Manchester City later on Thursday.
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