Jose Mourinho says Chelsea are close to finding their old form
The Blues were gifted the lead thanks to an Aleksandar Dragovic own goal just past the half hour mark.
However a late equaliser from Kiev was to test the Chelsea players' resolve, and Willian stepped up with yet another free-kick goal to win the game.
And Mourinho believes this ability to win the game in the face of adversity is a clear sign his players are on the mend.
"The win is a big relief. The players deserve to get compensation for their hard work," he said after the game.
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Willian was the star of the show for Chelsea
"Many players are coming to their normal levels, despite having feelings as a team when negative moments come - and they are coming every game.
"The difference today was that we had confidence in the negative moment. The negative moment is always arriving for us.
Spotlight - Jose Mourinho
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"We had that good reaction against Stoke in the League Cup and today we conceded that goal with 15 minutes to go.
"I think the team was strong mentally, they kept trying and I'm happy with that."