The Trabzon based news outlet 61Medya have reported that the Black Sea Storm will hold talks with the Red’s coming days.
61Medya go onto state that the 21-year-old is keen on a move to Trabzonspor.
Yesil is known to be a Trabzonspor fan spent his summer break in the Black sea region in Turkey.
The Germany u19 international is currently on loan at the Swiss Super League side FC Luzern who are managed by the former Liverpool defender Markus Babbel.
Yesil has provided two assists and scored one goal in eight league appearances this season.
The young striker joined Liverpool from the Bundesliga side Bayern Leverkusen back in 2012 for £1 million.
Yesil has made two assists and found the back of the net just once in eight appearances for Luzurn this season.