"I've spoken to Alex Del Piero, who told me he's staying along with Pavel Nedved," Secco was quoted as saying by Sky Sports Network.
The duo, among other Juve stars, were tipped to move out of the Turin club who will play next season in Serie B with 30 points docked from their account.
Italian internationals Fabio Cannavaro and Gianluca Zambrotta, French pair Lilian Thuram and Patrick Vieira and Brazilian midfielder Emerson have already confirmed their desire to move out.
A number of big European clubs expressed interest in Juve's players, especially Real Madrid who made inquires over Cannavaro, Zambrotta and Emerson.
Juventus confirmed they are in talks with Real but stressed they won't give away their players for cheap.
"We'll meet them again in a few days to talk more. We are ready to sell players, but only at the right price," Secco added.