According to Turkish outlet Taka61, the Premier League side have now returned with a €25 million proposal for the Nigeria international as they look to strengthen their defence.
Trabzonspor are reportedly holding out for around €30 million before agreeing to sell the 22-year-old centre-back.
Nwaiwu only joined the Turkish club in January from Austrian side Wolfsberger AC, having previously played for Enyimba.
Despite his short time at the club, he impressed with three goals and one assist in 16 league appearances, helping Trabzonspor secure the Turkish Cup.
West Ham United have also been linked with interest in the defender.
