TalkSport reports that the Blues are preparing a swoop for the highly-rated midfielder.
Chelsea signed Oriol Romeu from Barcelona in the summer and the youngster impressed when he made his first league start of the season against Wolves on Saturday.
Roberto is highly regarded at Barcelona, but could be available for around £5million.
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Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.
Newcastle United are staring down the barrel of relegation to the Championship for the second time in the past eight years.