Roma need to score at least three goals at the Stadio Olimpico on Wednesday to reach the May 26 final in Kiev.
Edin Dzeko, Mohamed Salah and Lucas Digne netted a goal each as Roma beat Carpi 3-1 in their Serie A tie.
Edin Dzeko was sent off 16 minutes before the end but teenager Sadiq Umar sealed the match late on to end a seven-match winless run for AS Roma that included Wednesday's Italian Cup exit against second-division Spezia.
Edin Dzeko's 85th minute strike helped Bosnia-Herzegovina draw level with Ireland during their Euro 2016 playoff.
Edin Dzeko inspired a 5-0 demolition of Newcastle. Dzeko scored one and had a hand in two others, Sergio Aguero, Samir Nasri and David Silva, who netted twice, were also on the scoresheet for rampant Manchester City.
Bosnian striker Edin Dzeko's new contract will keep him at the club until at least 2018.
Bosnia and Herzegovina lost 0-1 to Nigeria and striker Edin Dzeko feels New Zealand referee Peter O'Leary and his line judge were disallowing a goal for offside.