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You're right, some teams struggle to get past the groups stage back then but end up reaching the semi-finals or quarter final, I can't really remember the year but their was a season when Madrid didn't really perform very well from the group stage and round of 16 but ended up winning the league. PSG didn't really do well at the beginning of last season's tournament but along the line when the managed to progress they had to put more effort to avoid being kicked out till they got to the finals and won, that's the fighting spirit every team that wants to win that tournament should posses, you don't give up till it's over.
As for next season campaign it will be something different for PSG from start to finish, they're already showing in the FIFA club world cup their level of form for a good run in the next season champions league. I am already handpicking them as favourite in the mix of teams that would be projected for the finals again . Right now in Europe, they seem to be invisible, and only the likes of Barcelona can I use to match their form.