The Manchester City boss believes that the club's title triumph is just the beginning, and expects his side to go on to dominate in Europe's premier competition
The Italian helped City seal their first title in 44 years on Sunday, but his side were disappointing in their maiden Champions League campaign, crashing out at the group stages.
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And Mancini admitted that a mixture of luck and good results will be vital to their European campaign next time around.
"We need to improve," he told reporters.
"The Champions League is a very difficult competition, you need to be lucky and in good form in February, but I think we can do well next year. I think Manchester City now is in a good way."
The former Inter boss also praised the Premier League, insisting winning it is the best achievement in European football.
He added: "It is not easy because we have to fight every year against top teams like United, Chelsea, Liverpool, Arsenal, Tottenham - but if we continue to work like this we can have a big future.
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"I am very happy because in England it is the best championship in Europe. The Premier League is a fantastic league and I am very happy to be here."