Having reached the quarter-finals of this season's competition, the Giallorossi have vastly improved their co-efficient - which could have a significant impact on their group stage draw in future UEFA competitions they may qualify for.
The Giallorossi have leapfrogged the likes of Besiktas, Monaco and Ajax in recent weeks, having improved from being outside the top 50 at the start of last season.
They are the third Italian side in the rankings, behind Juventus (5th) and Napoli (17th).
UEFA's club co-efficients are worked out on the average of clubs' performances in UEFA competitions over the last five years.
UEFA use the co-efficients to seed clubs for draws for their club competitions - the higher a club's co-efficient is, the better their chances of a favourable draw in the Champions League or Europa League.
Roma host Barcelona in the second leg of this season's Champions League quarter-finals on Tuesday.
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