Iniesta has moved to Japan with Vissel Kobe and Barca are trying to offload Andre Gomes to broker a deal for a replacement.
Juventus, meanwhile, are eyeing him as well.
The Serie A giants have enjoyed a fine summer, landing Emre Can and Cristiano Ronaldo, but know more is needed if they are to end their agonising wait for the Champions League crown.
Should he sign, he would become the second arrival of the Sarri era.
Chelsea transfer news: Maurizio Sarri also wants Gonzalo Higuain (Image: GETTY)
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And he is unlikely to be the last with Chelsea keen to sign at least two other players.
Gonzalo Higuain is wanted as a replacement for Alvaro Morata.
The Juve hitman could be on the move following Ronaldo’s arrival, despite his agent denying reports of a potential exit.
Chelsea also want Daniele Rugani.
But whether Sarri can land his principal targets with just 22 days of the transfer window remaining remains to be seen.