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Patrik Schick opened the goalscoring after just 23 minutes on the night, as he flicked home brilliantly from Cengiz Under's low cross. But it wasn't until Ivan Marcano slotted home - this time from a Schick backheel assist - on the stroke of half-time that the game really looked comfortable.
Schick then added his second of the game with a brilliant first-time finish just two minutes into the second half - and what little doubt there may have been was finally erased when Javier Pastore broke through the defence to slot home.
Robin Olsen made a number of impressive saves over the 90 minutes but it was undoubtedly Entella's Andrea Paroni that was the busier man - the goalkeeper making a number of important stops to keep the scoreline down.
There was further late cheer for the 20,000 Giallorossi fans in attendance on the night - as they saw 17-year-old academy graduate Alessio Riccardi make his debut for the club. Riccardi nearly scored with a somewhat misjudged deep cross - which would have been some introduction to senior football.
Roma now move onto the quarter-finals - where they will face Fiorentina at the Stadio Artemio Franchi.
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