Tottenham are also still said to be interested in the West Brom forward.
Newcastle and Stoke have both reportedly made concrete offers but West Brom are said to have shunted them.
As such, Berahino will seek talks with Peace, who has always insisted the youngster will remain with the Baggies.
Should Berahino make any headway during his talks with Peace, however, that may well change for Tottenham.
But neither the north London side nor Newcastle United or Stoke City should hold their breath. We were in this situation last Deadline Day, too...