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But after the interval, the tables turned for City, with Kevin De Bruyne and Riyad Mahrez scoring two valuable away goals, while Idrissa Gueye was shown a straight red for a nasty challenge on Ilkay Gundogan.
Tuesday's second leg represents the fifth meeting between the pair in all competitions - and PSG have failed to win any of their previous games against City.
The only previous meeting at the Etihad came in the 2015-16 Champions League quarter-finals, where a De Bruyne goal saw City progress to the final four after a 2-2 draw in Paris.
Here, SPORTbible takes a look at everything you need to know ahead of the big game.
Manchester City vs Paris Saint-Germain is set for an 8pm (BST) kick-off on Tuesday, May 4.
It will be televised on BT Sport 2 and BT Sport Ultimate.
BT Sport subscribers will also be able to watch the match online via the website or BT Sport app.
The nature of the first leg makes this prediction even tougher - and it could all depend on an early goal.
PSG dominated the first half of the leg at the Parc des Princes, but failed to make the most of their early superiority and were punished as City hit back after the break.
With that said, PSG need to score at least twice at the Etihad and if they get one early on, it could turn into a shootout.
Guardiola's Sky Blues have scored at least two goals in each of their last six Champions League matches, and should have just enough to see this one out and reach the final.
Manchester City are 8/13 to win, with PSG priced at 19/5 to come away with the victory. A draw is priced at 3/1.
Odds are correct at the time of publication and are, as always, subject to change.
Defender Eric Garcia is Manchester City's only absentee for the second leg of their Champions League semi-final against PSG.
The Spaniard, who is out of contract at the end of the season, is ruled out after suffering from a fever.
PSG forward Kylian Mbappe is doubtful for the match at the Etihad having missed the weekend's league win over Lens with a calf injury.
Meanwhile, midfielder Idrissa Gueye misses out through suspension following his dismissal in the first leg.
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