The Togo international struggled for form in the Premier League last season, bagging just five goals in 25 appearances following his £5million move from Manchester City.
Adebayor initially shone at White Hart Lane during a loan stint from City, only for the scoring exploits which earned him a permanent deal with Spurs to evaporate.
He could now be offered a route to pastures new, with Piper claiming that they have tabled an offer to Tottenham for the former Arsenal man.
Piper told Turkish news outlet Fanatik: "It is certainly true that we are looking at the idea of a transfer. We have made a serious bid for Adebayor.
"That, in turn, has given us a figure for the player, which is slightly above the amount that we imagined.
"However, making a signing as big as this immediately is nothing but a dream.
"Negotiations always take a long time. I hope that we will get a chance to have a meeting soon."