26-year-old Muriqi scored 17 goals in 36 appearances for Fenerbahce in the 2019-20 season.
And his form could lead him to Italy, with Lazio willing to pay the Turks five times more than what they paid for him last year.
Fenerbahce paid just €3.5m to sign the Kosovo international from Rizespor in the summer of 2019.
His form in Turkey’s Süper Lig has led to links with clubs such as Jose Mourinho’s Tottenham Hotspur.
The ball is now in Fenerbahce’s court, with Lazio’s €18m offer on the table.