On Sunday, Goal.com exclusively revealed that the three-time European champions could cash in on the currently injured centre-back, with Russian side Anzhi Makhachkala interested in the 30-year-old's services.
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But Vidic says they have learnt from past mistakes and is confident success can be achieved on all fronts this season.
"Our aim this season is to win both the Premier League and Champions League," the Serbia international told the Daily Star Sunday.
"We had a disappointing campaign in Europe last season but I think this year will be different. We will learn from the mistakes of last year when we relaxed too much.
"Maybe we had become too complacent because we always seemed to automatically get past the group stage.
"That mentality cost us. We also had injuries - including my own - and we had a lot of younger players who were adjusting too.
"But now the younger players are a lot more experienced, and hopefully we will now have better luck with injuries."