The Rangers boss revealed that both Francesco Stella and Sebastien Faure had trained and played well in a closed-door game at Auchenhowie earlier this week.
And joining that pair in training today were a Greek defender and an Argentinian midfielder.
24 year-old Anestis Argiriou featured recently for AEK Athens and has represented his country at under-21 level.
He can play as either a right sided full back or a central defender and previously had trials with Blackburn under Sam Allardyce.
Francesco Celeste is a left sided midfielder formally of Boca Juniors in his homeland.
The pair were put through their paces along with French defender Faure, who McCoist admits he is hopeful of striking a deal with, and Stella, a 21-year-old Italian-Australian.
Formerly of South Melbourne FC, he left for Italy where he joined Siena before spending time on loan in the lower leagues in Italy.
You can see shots of the players in action by checking out our gallery here
