Calafiori was forced off in their Nations League victory over France on Friday night with an ankle injury.
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The defender suffered the setback after a clash with PSG winger Ousmane Dembele.
Italy coach Luciano Spalletti sought to ease fears at the final whistle.
"We need to assess Riccardo but with our staff, we've a good chance to have him back with us for the next game,'" Spalletti told reporters.