The result means City's lead at the top of the Premier League table is extended to four points, with second-place Liverpool in action tomorrow when they host Everton.
Chelsea fought back from 2-0 down to dampen Southampton's hopes of Premier League survival this season. Olivier Giroud scored a brace from the bench, while Eden Hazard also got on the scoresheet at St Mary's.
Prior to today's match, the visitors had failed to keep a clean sheet in 15 Premier League matches, and had lost 10 of their last 11 Premier League away games, while no side has lost more on the road in the top flight this season.
The Premier League top scorers had spurned numerous chances with Conor Coady producing a heroic goal-line clearance to deny Diogo Jota as Wolves defended doggedly.
Watch highlights as the Reds fought back from a goal down to secure a 2-1 victory away at Southampton, in their penultimate game of the Premier League season.
Leandro Trossard's goal ended Arsenal's woeful run at Goodison Park but the nature of their 1-0 victory over Everton was far from convincing for would-be Premier League title contenders.