Arsenal are likely set for the toughest task, as reigning champions Bayern Munich, Cristiano Ronaldo's Real Madrid, 2009 and 2011 champions Barcelona, La Liga joint-leaders Atletico Madrid and Ligue 1 leaders Paris St Germain are their possible opponents.
City face a similar roster of possible opponents, but the German side potentially lying in wait for them are 2013 finalists Borussia Dortmund.
Manchester United and Chelsea face much less daunting opposition: both could face Galatasaray, who looked impressive knocking Serie A leaders Juventus out of the tournament on Wednesday and seven-times champions Milan pulled off one of the shocks of the tournament so far in beating Barcelona with just 10 men, but both English sides would both be relatively happy to draw Olympiacos or Zenit St Petersburg.
The draw takes place on Monday. The last-16 first leg matches will be played on February 18 and 19, with the second legs - in which the group winners will all have home advantage - a week later on February 25 and 26.
While teams from the same country and qualifying group are kept apart in the last-16, from the quarter-final stage the draw is entirely open.
Arsene Wenger remains hopeful about his side's chances despite the probability of a Herculean task for his men.
"in the last four or five years we have had very difficult draws, so maybe this time we will be more lucky," Wenger said.
"But if you look at the teams who are potentially there, at least we know we will have a difficult draw."
Jose Mourinho refuses to accept that Chelsea have an easy option.
"Of course we look to the top ones that won the groups and you see they're the main candidates to win the competition," Mourinho said.
"But in the second position we have difficult teams. We have champions. We have the Russian champions, we have the Greek champions.
"We have a German team, Leverkusen, as a German team, is always difficult. We have the Turkish champions with King Didier (Drogba).
"And Milan is Milan. They only won seven times. It's hard.
"And when it goes to the knockout phase things become very tactical one way, very emotional by another way. It will be always difficult."