Liverpool blew at 2-0 lead at Anfield as Brighton battled back to earn a deserved 2-2 draw.
City are now five points off the top after Pep Guardiola's 10 men were beaten 2-0 by Crystal Palace at the Etihad.
Manchester United return to action for the first time since their 5-0 humiliation at the hands of Liverpool later on Saturday when they travel to Tottenham.
Newcastle are hoping to follow in the footsteps of Chelsea and City's success following huge investment from foreign owners.
However, the Saudi-owned Magpies have a battle just to remain in the top flight as they remain rooted in the bottom three without a league win this season.