The 27-year-old, who is a free agent after recently leaving Turkish club Sivasspor, played an hour as the City reserve-team lost 2-1 to Yeovil on Tuesday afternoon.
Taider will spend the week on trial at Ashton Gate.
"We are just having a look at him," assistant manager Steve Wigley told the club`s official website.
"He`s got four caps for Tunisia and has also played for the France Under-21 side in the past.
"He is training with us this week. He is clearly a good footballer but he hasn`t many games under his belt recently."
Source: PA
Source: PA