Pellegrino is currently in charge of Malaga, where he has impressed after good spells in charge at Real Madrid and Villarreal.
He could face competition from Jose Mourinho, according to the Daily Mail, who report that Chelsea are looking at their various options with the season drawing towards a close.
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Who of Europe’s top strikers will move to England this summer?
After a dreadful start to their Bundesliga campaign, Borussia Dortmund appear to have weathered the storm after going five matches without defeat.