The Danish outfit have never defeated Spanish opponents in eight attempts, but they will be buoyed by the 1-1 home draw earned against Juventus on matchday one.
Real were in imperious form in their opening group B fixture, Cristiano Ronaldo scoring a hat-trick in a 6-1 demolition of Galatasaray in Turkey.
The two sides have never met before, with Real's last game against a Danish side ending in a surprise 2-0 home reverse to Odense in what was then the UEFA Cup in 1994-95.
Carlo Ancelotti's side suffered their first league defeat of the season on Saturday, going down 1-0 at home to neighbours Atletico Madrid, a result that leaves them five points adrift of both Atletico and Barcelona at the top of the table.
Copenhagen have suffered a terrible start to their domestic campaign and with just two wins from the opening 10 matches, Stale Solbakken's side currently find themselves in the relegation zone, their plight not helped by Saturday’s 3-2 defeat away at Brondby.
That reverse was Solbakken's first defeat since taking over from Ariel Jacobs in August and Copenhagen will be hoping to celebrate their 150th European game with what would be a surprise win.
