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Tammy Abraham arrived in the 75th minute, clipping in Roma's fifth.
Tammy Abraham scored his home goal for Roma, beating CSKA Sofia in Europa Conference League. This makes it six wins from six under Jose Mourinho.
Graham Carey, an Irishman, gave the Bulgarians a shock lead.
Lorenzo Pellegrini positioned himself at the edge of the region, and Stephan El Shaarawy placed Roma in the lead.
Gianluca Mancini, Pellegrini scored again before Abraham scored Roma's fifth goal over the keeper.
Since his summer transfer from Chelsea, the 23-year-old England striker scored two goals in five matches.
Roma won their first six games of the season for the third time in their history. They have won three in Serie A, three in the Conference League and three in the Conference League with qualifiers.