"I will always salute as I did because it gives me a sense of belonging to my people," Di Canio was quoted as saying in the Italian media.
The game featured teams whose fans have opposing political allegiances: Lazio fans waved swastika flags while Livorno fans had red Communist flags.
Blatter said racist actions by players or fans could cause their clubs severe penalties.
"The only sanction you can take against racism is the deduction of points, suspension or expulsion from competition -- even relegation to the next league," he said. "A financial sentence is nothing. We have to be really tough."
Last week, Hungary's football federation fined Ujpest FC 19,377 euros because its fans chanted anti-Semitic slurs during a league match, and suspended the referee for failing to take action.
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