On the back of a three-game winless run, the Bull bounced back to winning ways against Inter Milan last week but their effort to commence to a run was frustrated by Leonardo Semplici’s side.
Nkoulou's sending off with 25 minutes to play did not help their cause either.
The Cameroon international was cautioned by referee Maurizio Mariani in the 33rd minute before he was sent off in the 65th minute for another booking.
The former Monaco defender has featured in all Torino’s league games this season, helping Walter Mazzarri’s men to keep eight clean sheets.
With the draw, Torino are tenth in the log with 31 points from 22 games. They take on Udinese in their next game on February 10.