The Argentine is unhappy with his side's supporters for attempting to intimidate their Rome rivals ahead of Sunday's big derby
It was believed that both sets of supporters had agreed a pact not to engage in violence ahead of Sunday's Rome derby, but the Biancocelesti squad have instead been the target of troublesome Roma fans.
Just two weeks ago the Giallorossi were fined €50,000 after supporters racially abused AC Milan's Mario Balotelli during a Serie A fixture and Burdisso is unhappy with the latest developments.
"That’s a real shame and is precisely what shouldn’t happen,” he said. “I hope this can be a great festival, before and after the game, regardless of the result.”
Aside from the traditional rivalry between the two Rome clubs, Sunday's final has additional importance with a Europa League spot the prize for the winners.
And though Roma have come off second best in clashes between the two sides in recent times, the 32-year-old does not believe previous fixtures will have a bearing on a one-off cup match.
"I think we are talking about a completely different derby now, as this is an historic final," Burdisso added.
"That’s how we see it and I imagine Lazio feel the same way. Tomorrow will be a very different match to the ones we experienced before.
“I came here to Roma in order to win something and to give joy to these fans who are so passionate about football. It can be a joyous occasion for all of us.”
The former Inter man then highlighted team-mates Daniele De Rossi and Francesco Totti as two potentially decisive figures in the contest.
"I hope it can be Daniele De Rossi’s match. Clearly he is Roman and feels this appointment more strongly than anyone else. Francesco Totti also has his history in this fixture."