Samp had already stunned the Turin giants 2-1 away from home earlier this season.
The 3-2 home win ensures they finish in 14th, whilst Juventus suffered their fifth league loss of the season.
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The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.
Five English clubs will compete in the last sixteen of the Champions League for the first time ever as Liverpool, Manchester United, Manchester City, Chelsea and Tottenham face some difficult away matches.