This year's final will be staged at Atletico's Wanda Metropolitano stadium in Madrid on June 1, 2019.
English champions Manchester City got a favourable draw in Group F with Shakhtar Donetsk, Lyon and Hoffenheim.
The Group B consist of five-time winners FC Barcelona, three-time victors Inter Milan, English side Tottenham Hotspur and 1988 champions PSV Eindhoven.
Group C: Paris St-Germain, Napoli, Liverpool, Red Star Belgrade.
Valencia and Young Boys are the other teams in the Group.
The first round of group games will be played on September 18 and 19, with the last matches on December 11 and 12.
Due to the seeding system and UEFA's policy of keeping teams from the same countries apart in the group stage, there was a shortage of big heavyweight clashes but lots of intriguing ties. We expected him to come but then, a couple of hours before, Juve told us he wouldn't." l'll only say this: "there was a vote by 55 journalists and 80 Coaches, so they decided the victor and therefore the result must be accepted.More news: All the latest from the Crazy Rich Asians Singapore red carpet
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Assistant coach of the Black Stars, Ibrahim Tanko has tagged Group B of the 2018/19 UEFA Champions draw as the "Group of Death".
"Many of the teams have reinforced [in the transfer window], but it's a very hard competition when the group stage ends and we get to the knockout rounds", he said.
Modric - who also won the Golden Ball at the World Cup in Russian Federation after leading Croatia to the final - added: "As I already said, I am really happy to be here".
"It could have been worse, but we cannot afford negligence if we want to finish first", said Bayern forward Thomas Mueller.
We are in a very different football world to seasons like 1998-99, when the opening round dictated everything that followed. "But I was hoping we would draw a big team and we got one".
He then touches on the chances of former side Dortmund, who made Group A, alongside Atletico Madrid, Monaco and Club Brugge.
With Lokomotiv Moscow coming out of Pot 1, Porto out of Pot 2 and Schalke out of Pot 3 you can safely deduce that all the teams remaining in Pot 4 would be desperate for Diego Forlan to call out their name.