It is not the first time Barcelona have been linked with the player, and Mundo Deportivo say that they are looking to sign the attacking midfielder this summer.
Pjanic is 23 and has starred for Roma for the last two seasons in Serie A.
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Chelsea have struggled to build momentum in the opening stages of the campaign and are currently looking over their shoulders at the relegation zone.
Who of Europe’s top strikers will move to England this summer?