"It's a tough draw with fascinating challenges," Conte told the official Juventus website.
"Real Madrid are one of the favourites for the trophy, one of Juve's historic rivals in Europe and facing a side of such prestige will be very motivating.
"Galatasaray are a team to be feared, have notable quality and can count on a fiery home atmosphere in Istanbul.
"From our experience with Nordsjaelland last year, we learned about Danish football. Our focus has to be absolute against Copenhagen too.
"Unlike last season, we all know what awaits us now and the sensations you get facing the best teams in the world.
"We take on this competition with more experience and awareness of our capabilities, but also a precise idea in our minds: for us Europe is a dream to be chased, knowing that the more we can keep that dream going, the better we'll get."
For the big stories and the banter follow us on Twitter: @tribalfootball