Chelsea were hosted by Brighton and won 2-1 in their match that was carried over from the 34th round of the English Premier League.
English midfielder Cole Palmer and French midfielder Christopher Nkunku scored for Chelsea.
Before the last round, Chelsea are sixth, with 60 points, and Brighton are tenth, with 48 points, in the current Premier League standings.
In the other match of the day, Manchester United beat Newcastle United 3-2.
English midfielder Kobbie Mainoo, Ivorian striker Amad Diallo, and Danish striker Rasmus Hojlund netted Man United's goals.
Newcastle are seventh, with 57 points, and Manchester United are eighth, with the same number of points.
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