After Chelsea's 3-0 win, boss Sarri and money-man Abramovich sat down for talks.
However, The Times say the issue of Sarri's future was not brought up between the two - despite major uncertainty over whether the Italian will stay.
Sarri signed a three-year deal at the Bridge last summer and it's unclear whether a fourth-placed finish - and reaching the Europa League final - will be enough to keep his job.
The Times report Sarri is pushing for a decision from Chelsea as to whether they want him to stay with his coaching staff a major issue.
Maurizio Sarri has been under pressure to deliver success for Chelsea all season (Image: GETTY )
While Chelsea handed Sarri a three-year contract when he arrived, his 11 assistants were only given 12-month deals. It means they are all out of contract and no extensions have been given.
The Times say all are expected to stay if Sarri does keep his job.
Elsewhere at Stamford Bridge, Chelsea have been given a minor boost by the fact they can sign Gonzalo Higuain and Mateo Kovacic permanently this summer due to a loophole in FIFA rules.
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Chelsea play Arsenal in the Europa League final on May 29 (Image: GETTY )
The club have been slapped with a two-window transfer ban for the signing of young foreign players which they have appealed against. That, however, has failed.
Chelsea are now considering whether to take their case to the Court of Arbitration for Sport leaving their transfer plans in limbo.
Although they could have a temporary solution - by making the two loan moves permanent as they are already registered with the club.