It is over for Roma on their Champions League title chase... 
They managed to beat Genoa by 1-0 even with 10 players but it was still not enough to keep their hopes for the last week of the season. Because Atalanta also won against Lecce. The point gap is three points maybe but head-to-head games are taken into account first. Atalanta are ahead on that too after beating Roma by 2-1 recently.
Even though there are 5 teams qualifying for the Champions League, Roma have failed on this task once again. But I hope to see them coming back stronger. Let's see whether the board will keep De Rossi for next season too.
Yes, this is a very interesting question because by firing Mourinho the management showed that they have ambitions and a desire to have better results than Mourinho gave. But DeRossi at the moment only repeated the 6th place that the club had under Mourinho and was unable to repeat the Europa League final. If Roma wants something more, then they must back it up not only by shuffling head coaches but also by buying players. They managed to beat Genoa by 1-0 even with 10 players but it was still not enough to keep their hopes for the last week of the season. Because Atalanta also won against Lecce. The point gap is three points maybe but head-to-head games are taken into account first. Atalanta are ahead on that too after beating Roma by 2-1 recently.Even though there are 5 teams qualifying for the Champions League, Roma have failed on this task once again. But I hope to see them coming back stronger. Let's see whether the board will keep De Rossi for next season too.
I don't think Mourinho is a bad coach at all. He is quite an experienced coach. Even then, Roma management took the tough decision of sacking Mourinho. De Rossi was appointed coach by Roma management after sacking Mourinho. Roma's overall performance has been stable since de Rossi took over. But now the performance of the team is erratic again. The team could not qualify for the finals of the Europa League. At the same time, Roma's performance in Serie A is not good.
Roma management should now realize that if they want to see consistent performances from the team, they definitely need an experienced coach as well as an experienced and strong squad. Without an experienced squad, it is not possible to maintain consistency of performance.