Roman Abramovich's club offered Milan €73-million (about R600-million) plus want-away Argentina striker Hernan Crespo in a determined effort to bring the 29-year-old Ukrainian to Stamford Bridge, the Daily Mirror reported on Thursday.
With Crespo valued at around €12-million (about R100-million), it would have smashed the current record of €71-million (about R680-million) Real Madrid paid Juventus for France star Zinedine Zidane four years ago.
Chelsea were understood to be willing to pay Shevchenko €225 000 (about R1,8-million) a week on a four-year deal.
Abramovich has long coveted Shevchenko and the European Player of the Year admits he is a personal friend of the Russian billionaire.
But if Abramovich believed his stunning offer would tempt Milan, he was shown to be wrong as the Italian giants rebuffed the bid.
Milan vice-president Adriano Galliani said: "Chelsea have asked us for Shevchenko but we have told them 'No'.
"Sheva is not for sale. He is unsellable."
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