The Spaniard has since been replaced by Ronald Koeman at Everton.
Everton manager Roberto Martinez
The Ukrainian ace has been a long-term target for the Blues, who made a move to sign him last summer before seeing talks break down with Dynamo Kiev.
Ukraine's Andriy Yarmolenko
They continued to scout him throughout last season, and sent scouts to watch him take on Manchester City in the Champions League.
And according to the Liverpool Echo, former manager Roberto Martinez was hoping to make another bid for him this summer.
They claim that he was confident of getting a deal over the line with the backing of new majority shareholder Farhad Moshiri’s money.
Ukraine's Andriy Yarmolenko in action with Northern Ireland's Jonny Evans
However, he has since been replaced by Ronald Koeman at the club and so a move for Yarmolenko is now thought to be off the table.
According to them, the Dutchman has his own set of targets for this summer transfer window and the winger is not among them at this stage.
That does not mean a move could not happen though, as they claim that the Blues will continue to keep tabs on him, potentially as back up option should Koeman’s prime targets not be secured.
New manager Ronald Koeman during the press conference