The point against Carlo Ancelotti's unpredictable team takes Brighton seven points above the relegation places with seven matches to go.
Newcastle also edged towards safety thanks to an Allan Saint-Maximin inspired victory at fellow strugglers Burnley and West Brom also have a glimmer of hope as six points from their last two matches gives Sam Allardyce's men a slim chance of survival.
Scott Parker's Fulham are in serious trouble after they suffered a late loss against Wolves.
Scroll down and click through to see where your Premier League team could finish this campaign according to FiveThirtyEight’s data model.
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Brighton have pulled seven points clear but there's still plenty to play for in the battle to beat the drop
. Man City
Predicted points: 89, predicted goal difference: 55
. Man United
Predicted points: 76, predicted goal difference: 33
. Leicester City
Predicted points: 68, predicted goal difference: 21
. Liverpool
Predicted points: 67, predicted goal difference: 25
. West Ham
Predicted points: 66, predicted goal difference: 14
. Chelsea
Predicted points: 66, predicted goal difference: 22
. Tottenham
Predicted points: 61, predicted goal difference: 20
1. Man City
Predicted points: 89, predicted goal difference: 55
2. Man United
Predicted points: 76, predicted goal difference: 33
3. Leicester City
Predicted points: 68, predicted goal difference: 21
4. Liverpool
Predicted points: 67, predicted goal difference: 25