The Belgium striker headed the hosts into an early lead from Paulo Dybala's classy outside-of-the-boot cross.
Lucas Martinez Quarta's glancing header brought Fiorentina level midway through the second half after Roma's Nicola Zalewski collected a second booking.
Lukaku was given a straight red for a studs-up foul on Christian Kouame three minutes from the end but Roma held out.
Fiorentina ended a feisty game with 10 men after Nikola Milenkovic's dismissal deep into stoppage time.
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