Conte, however, is adamant that he will not prioritise the remainder of the Premier League campaign over the chance for more silverware.
"You can't say we've had much luck: we've drawn the most hard team, the best team in the world".
"Now we have this possibility to reach for another time the semi-final". It won't be easy.
"We know they have top players and we cannot give them one metre because they can create and score".
I think there's been a lot of positives in both games against Barcelona and I think we have to show this desire in the next games and make sure that we win every game.
"We fight until the end of every competition".
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After Barca's 3-0 win over the Blues in the UEFA Champions League on Wednesday, Conte was seen whispering in the Argentine's ear as they left the field. Marcos Alonso hit the post and Olivier Giroud was unfortunate not to be awarded a penalty for a tangle with Gerard Pique as Chelsea tried to launch a comeback, before Messi killed the tie with his 100th Champions League goal.
Alonso bemoaned Chelsea's luck throughout the two legs, but noted that if the club want a chance to do better next year, they will have to play well over their last stretch of the Premier League season to ensure a place in next year's competition. "This must be our target". We don't have rules for the [different] competitions.
"If we play every game like we did against Barcelona [we would be in the top four], but that's not the case".
Barcelona, who are heavy favourites to clinch this year's continental crown after missing out on the last two seasons, join Real Madrid, Bayern Munich, Manchester City, Liverpool, AS Roma, Sevilla and Juventus in the last-eight. But this is football, this is life.