The French club have signed David Luiz and are keen on taking Eden Hazard, Oscar and Petr Cech from Stamford Bridge, too.
Yet in the throes of negotiations Chelsea are understood to have asked about a price for Argentine Lavezzi who is keen to play in a more competitive league.
Chelsea are looking for striking options after Samuel Eto’o was placed on the free transfer list, and are thought to be interested in Lavezzi to come in alongside Atletico Madrid forward Diego Costa.
It is not only up front where Chelsea are looking to strengthen and they are monitoring centre halves.
Jose Mourinho also likes Manchester City target Eliaquim Mangala of Porto after being rebuffed in enquiries for Raphael Varane at Real Madrid.