The Dutch champions are set to earn more than €55m from the impending departure of Lisandro Martinez, who is set to join Manchester United this summer.
Ajax are now considering moves for potential replacements for the Argentinian and Bassey has emerged as the top priority for the club.
Rangers have already rejected bids for the defender but Ajax are interested in pushing forward with their attempt to sign him.
And according to Dutch daily De Telgraaf, Schreuder has already had a conversation with the defender over the phone.
He has already done his part in order to convince the player to join the Dutch champions in the ongoing transfer window.
The Ajax coach admires the Nigerian and is pushing Ajax to take him to Amsterdam this summer.
Bassey is likely to be open to the move given Ajax are a big club and are in the Champions League.
It remains to be seen whether Rangers are in a position to reject a big offer from the Dutch giants this summer.
