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However, Liverpool take a 1-0 lead into the second leg thanks to Harvey Elliott’s dramatic late goal and goalkeeper Alisson Becker’s heroics.
PSG will score at Anfield this week despite the French side missing several excellent chances, according to Kvaratskhelia.
He hopes to haunt Liverpool again after turning down a move to Anfield in favour of a £59million switch from Napoli to the French capital.
“We had so many opportunities to score in the first game and were the better team.
But we can take a lot of confidence from the way we played and if we are the same in the second game then I think we will score the goals we need.”
Liverpool will need to play much better than they did against Championship-bound Southampton if they are to navigate a tricky second leg against PSG.
“Maybe if you see the highlights you would feel there were three or four chances, but we were not in the game at all and it didn't come to a surprise to me that we conceded a goal.
Especially if you look at the way we conceded it, it tells you all about our first half.
"We found a way to win the game in the second half.
In the media, in my meetings, I made clear to them how difficult of a game this was and that we have to play on different intensity levels than we've played against Paris Saint-Germain.
“Maybe also to get used to that level of intensity that we're going to experience Tuesday again.