Walter Mazzarri’s side hit the ground running with a first-half goal surge which was adequate for them to record their seventh top-flight win of the season.
Iago Falque started the party for the Maroons with his third-minute effort after benefitting from Alex Berenguer assist.
In the 33rd minute, Vid Belec was sent off for a serious foul play which obviously affected the side as they soon let in the second goal seven minutes after the incident, with Niang registering his third league goal of the season.
And just at the nick of 45 minutes, Obi added his name to the scoresheet as the Turin outfit went into the break with a convincing lead.
The second-half produced no goal as Torino secured the maximum victory of the encounter.
They will be hoping for a similar performance when they take on Sampdoria in their next league game on February 3.