An injury-time penalty - on 103 minutes - converted by Arthur Melo saw Fiorentina triumph and move into eighth place.
Italiano later said: "We have conceded many matches other than this one. We conceded too much in the second half, but we had an important, great reaction, finding strength in a season finale full of commitments and effort. I'm happy.
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"We tried to do some calculations to avoid difficult situations and have everyone available for Wednesday (Europa Conference League final). We are focused on this very important commitment and I am confident.
"Arthur hits penalties very well, together with Betran and Nico they are penalty takers. In training they are infallible."