The report that that the Lions are also prepared to offer a contract worth €3 million per-season for the 25-year-old defender.
The Istanbul giants could however, face competition from Serie A outfit Fiorentina who are keeping close tabs on the situation.
Galatasaray would be able to offer the Romanian international Champions League football and the Lions are expected to be in the title race next season.
The Super Lig champions secured Champions League football for the fourth consecutive season after winning the league for a record 20th time.
Galatasaray also won the Turkish Cup to secure a record sixth league and cup double last season.
Spurs signed the Romania international for £8.5 million two seasons back but he struggled for playing time over the last league campaign making a total of 16 Premier League appearances.