The Dutch club is looking for a replacement for Klaas-Jan Huntelaar.
Reports suggest Ajax are ready to sell their highly rated striker in the January transfer window.
“The club would like to be well prepared so they know where to go, if Huntelaar gets sold in the January transfer window,” Ajax’s Scandinavian scout John Steen Olsen told Ekstra Bladet.
It is believed Fall could cost Ajax around £5 million.