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On a night where Antonio Mirante made a number of important saves to keep the Giallorossi in the match, it was Florenzi who would ultimately break the deadlock late on - running onto Edin Dzeko's pinpoint pass before coolly lobbing goalkeeper Wojciech Szczesny.
Dzeko would then score in injury time, rounding off a quick counter-attack to wrap up the three points and keep Roma within an outside shot of qualifying for next season's Champions League.
Claudio Ranieri seemed to set his side out to be compact defensively while capable of springing away on the counter, but in the first half it was only due to Mirante that the Giallorossi did not go behind.
The goalkeeper made fine stops from both Juan Cuadrado and Paulo Dybala, keeping Roma firmly in the contest even as they struggled to create clear-cut openings - Lorenzo Pellegrini hitting the bar from a difficult angle in perhaps the best moment of the first half.
A disallowed Cristiano Ronaldo goal in the second set the stage for a dramatic final 20 minutes to the game, and it was Florenzi who made the difference. Making one of his customary surging attacking runs, Dzeko found him perfectly - and the full-back picked out a sublime chipped finish to break open the game.
Dzeko's emphatic strike in injury time then clinched matters, giving Roma hope that - with two more wins from their final two games - the side might yet rescue Champions League qualification.
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