The Metro report claims that Chelsea boss Jose Mourinho is looking to strengthen his squad with striker Didider Drogba out of contract at the end of the season.
Ünal has been linked with Chelsea in the past but has also attracted the interest of German, Italian and Spanish clubs according to his agent Batur Altıparmak.
“There are German, Italian and Spanish clubs interested in Ünal,” Altıparmak told Turkish-football.com.
Ünal has also been closely linked with Bundesliga outfits Bayern Munich and Borussia Mönchengladbach over recent weeks.
The 18-year-old striker has an extraordinary international record, hitting the back of the net 24 times in 25 games for the U16’s and has already been called-up to the U19 as well as the U21 sides.
The Bursaspor youth also earned his first senior national team call up in March against Luxembourg.
Ünal became the youngest player ever to score in the Süper Lig last season and already has seven first team goals for the Green Crocodiles.
The striker was recently listed in the Guardian as one of the 40 best young talents in world football.