It was a fine response from an Olivier Giroud inspired Chelsea but for much of the match the concerns that have dogged the team this year were on show.
Conte has told his players they must play for the club, rather than for him, over the next few weeks.
Since arriving at Stamford Bridge, however, things have not exactly gone according to plan for Giroud.
Conte, who won the Premier League in his first season, dismissed the assertion his players have to produce a strong finish to help improve his chances of staying in charge.
Many are expecting the Blues to appoint a new manager in the summer but Conte refused to be drawn on his personal situation at Stamford Bridge ahead of Chelsea FC's trip to Southampton in the Premier League on Saturday.
Chelsea's frustration overspilled as tempers flared late in the first period when Marcos Alonso was lucky to escape unpunished for raking his studs down Shane Long's calf.
The exposure she, and her team-mates, received on Sunday will have been priceless to the development of club and sport, as millions watched in their front rooms.
"Honestly, I'm not curious because I don't read the papers and honestly I'm not interested in this".
'When I came on I said to Eden we need to fight to the end, keep believing.
Despite beating Tottenham Hotspur 3-1 and eventually being confirmed as this season's champions, Manchester City have just one player in the squad in the form of Aymeric Laporte.
Five minutes later Hazard levelled by smashing home Willian's cross from close range.
And with Southampton reeling, Giroud completed Chelsea's comeback when he pounced on a loose ball inside the area to drive into the bottom corner.
The Northern Irishman was axed by Liverpool in October 2015 before moving up to Scotland to enjoy what has been two trophy-laden seasons at Celtic Park.