Turan was sent off against Real Madrid in the Champions League quarter-final stages last season.
The Turkish international has yet to make his debut for Barcelona this season despite signing on a five-year deal over the summer due to the FIFA transfer ban.
Turan will however, be able to play for his new club in January and will be available for the second-leg Champions League tie against Arsenal.
Barcelona will play their first Last 16 game against Arsenal on 16/17th of February, or the 23/24th.
Turan was part of the Atletico Madrid side that reached the Champions League final that ended up losing to rivals Real.
The full Champions League League draw is as follows:
Gent (BEL )v Wolfsburg (GER)
Roma (ITA) v Real Madrid (ESP)
Paris (FRA) v Chelsea (ENG)
Arsenal (ENG) v Barcelona (ESP)
Juventus (ITA) v Bayern (GER)
PSV (NED) v Atlético (ESP)
Benfica (POR) v Zenit (RUS)
Dynamo Kyiv (UKR) v Man. City (ENG)