The penalty was missed but Antonio Candreva scored on the rebound to secure 10th-placed Lazio a 2-1 win over table-topping Inter.
"Unfortunately Melo did two stupid things," coach Mancini told Sky Sport Italia after the match.
Melo now misses Serie A games against Empoli, Sassuolo and Atalanta.
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He has been sent off twice this season. "Yes, I'm a nasty player and that is my strength," said Melo when he arrived at Inter from Galatasaray earlier this year.
(Reporting by Bartosz Dabrowski in Gdynia)
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