Real Madrid and PSG are also keeping tabs on the 18-year-old.
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Chelsea are in contact with Yoro's agents about a move to London.
The Blues also are seeking a new striker and a left-back for the summer market.
Chelsea in contact with agents for Lille defender Leny Yoro
The London Evening Standard says Chelsea see Yoro as a replacement for Thiago Silva, who leaves at the end of the season.