Zlatan Ibrahimovic and Edinson Cavani scored for PSG, but John Obi Mikel claimed an away goal for Chelsea in what is Guus Hiddink’s only defeat since being appointed interim manager in December.
Costa’s return to action has been welcomed by Hiddink, with the striker now rediscovering his best form after disappointing at the start of the season.
“I’m very proud of him, the way he’s playing and, going not over the edge, but he likes to fight in the real way of the game,” Hiddink said.
“That’s what we like. I protect him and support him when he’s doing what he has done in my period at Chelsea.
“He frequently is scoring now, since December, January. Before he had this problem not scoring, as did the team. Let’s see and hope he can make it to the European level as well.”
PSG boss Laurent Blanc, who will make a late decision on the fitness of midfielder Marco Verratti (groin), said of Costa: “I’m a big fan of him as a player. We know all about him as an individual, as a man. He’s someone who likes contact, likes to engage in a bit of provocation. But we’re used to it.
“I’ll tell my players not to respond to that, to keep cool in the face of provocations. In order to perform very well you need to maximise what you’ve got and keep all 11 players on the pitch.”
Chelsea have reached the knockout stages of the Champions League 12 times in the past 13 seasons, making the quarter-finals eight times
The Blues have scored in their past 22 Champions League home games; the last time they failed to score was in the 1-0 defeat by Manchester United in April 2011
57% of Chelsea’s Champions League goals this season have been scored from set-pieces (eight out of 14), the highest ratio among the 16 teams left in the competition
Diego Costa has scored only one goal in his past 15 Champions League games, against Maccabi Tel Aviv in September 2015
This is PSG’s fourth successive season in the knockout stages, the best run in their history; they have been eliminated in the quarter-finals in the past three years
PSG have failed to score in five of their six away games against English clubs in European competition; the only exception was last season against Chelsea (2-2 in the second leg of the last 16)
PSG have the best defensive record in this season’s Champions League (two goals conceded in seven games); they are also the only team yet to concede a goal in the second half of a Champions League game in 2015-16
Chelsea and PSG meet in the knockout stages of the Champions League for the third consecutive season; Chelsea won in 2013-14 and PSG in 2014-15