And ultimately they were successful as Yan Valery equalised and James Ward-Prowse struck the victor with a curling free-kick nine minutes from full time.
Maurizio Sarri has endured a stormy first campaign at Stamford Bridge and Champions League qualification either through the league or by winning the Europa League is seen as the minimum required for the Italian to be handed a second season.
Solari's future is deeply uncertain after back-to-back El Clasico defeats to Barcelona was followed by a stunning 4-1 defeat to Ajax in the Champions League round-of-16.
"I feel very proud". You can use the first half as an example of [positive] arrogance, playing with intention, focus, concentration - we matched them in everything and we were much better. "He will be wanting to play at the very top", said the ex-England worldwide. "We did not take the second half seriously".
"I think to help the club achieve, not only reach the quarter-finals but be in a good mood if we are to change again, move and open our new stadium".
"But I would enjoy it more if we have 10 points more because then it's a completely different situation, not so much pressure on us and the fans can also enjoy these games more than when we need every point".
"But still we are in a position that everyone should sign for at the beginning of the season".
Of course, it's so important to be in the quarter-final but in the end you need to show more if you want to be at the next level and stay there. We played well but they were always risky on the counter-attack and today with five at the back we were more compact. In the last few years, we are living more in perception of reality, now to say is reality.
"Everything you need to increase if you want to be one of the best clubs in the world".