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Published 09:41 8 Sept 2015 BST
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The 24-year-old Algerian international is, according to the Daily Mail, being lined up as a replacement for Pedro following the Spaniard's £22m move to Chelsea.
Barca are banned from registering players until 2016, but that has not stopped them from bringing in a couple of players, such as Arda Turan from Atletico Madrid.
The Catalans are in no rush, then, to tie up a deal for Mahrez but will monitor his form closely and if it keeps up, he could be swapping the King Power Stadium for the Nou Camp in 2016.
It's out there, but it's not the first time a European giant has made an unlikely signing from the Premier League.

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