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.
What is your opinion? Feel free to discuss the article under. You have to comment by using your Facebook profile. Be fair and have respect for other people and opinions!
Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.