AS says Milan have already had a €10m offer for Souza rejected by Santos in recent days.
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The Rossoneri are set to return with an improved offer, though Chelsea are now weighing up jumping into the battle.
The Blues do not intend to sign Souza immediately, but instead have French partners Strasbourg bid for the defender this month in an effort to take him to France.
Should Souza impress in Ligue 1, then Chelsea would seek to eventually bring him to London for the long-term.