Chelsea have reportedly given up on bringing in striker Gonzalo Higuain during the January transfer window due to the complexities of the deal involving two clubs.
Milan parted with €18m to bring Higuain to the San Siro on loan, while committing to a further €42m should they take on the player full time.
This arrangement has deterred Chelsea from attempting to bring the player to the Premier League, with the need to negotiate with both clubs a stumbling block, as reported by Goal.
Sarri was believed to be hoping for a reunion with Higuain, who flourished under his command previously with Napoli.
Higuain made his name in Italy with the Neapolitan side, following a transfer from Spanish giants Real Madrid.
Chelsea’s main investment last summer, Alvaro Morata, has not scored in the league since the first week of October.
Morata had been mentioned as a potential swap replacement for Higuain but he now looks set to continue his stint at Stamford Bridge.
Chelsea’s other striking option, Olivier Giroud, hit his only league goal this season with a late consolation in Sarri’s first Blues defeat at the hands of Tottenham.