Aston Villa have been one of the busiest clubs in the Premier League this summer, bringing in no less than seven new signings.
The Pharaohs were tipped to go on to win their eighth AFCON title, but crashed out in the Round of 16 to South Africa, with Smith and sporting director Jesus Garcia Pitarch both in attendance.
And following their exit from the competition, Villa have wasted little time in trying to lure him away from Turkish side Kasimpasa.
The Sun claimed on Friday that Villa value Trezeguet at £8m, but had begun negotiations over a potential deal.
And Turkish outlet Takvim now report that the Super Lig club have accepted a bid worth £9.6m.
Smith is thought to be keen to get a deal over the line as soon as possible as he eyes a number of other signatures he wants to secure.