According to Gianluca Di Marzio, Italian international Palmieri remains Antonio Conte’s main target for the left.
However, signing Palmieri is not straightforward with Chelsea valuing him at €30m.
Mykolenko, 21, would be a much cheaper alternative and is attracting interest in England and Italy.
Roma have also registered an interest in the eight-time Ukraine international in recent weeks.
Mykolenko scored four goals and delivered seven assists for Dynamo in the 2019-20 season.