It was a very tight first half but Brighton broke the deadlock with just six minutes remaining courtesy of Danny Welbeck’s 50th Premier League goal.
The England international calmly lifted the ball over Hammers goalkeeper Lukasz Fabianski after being slipped in by substitute Percy Tau.
The lead was short-lived as West Ham substitute Said Benrahma swiftly levelled with his first goal for the club.
West Ham remain in the running for a European place while Brighton turn their attention to Tuesday night against Man City at the Amex.
Scroll down and click through to see who shone and who struggled for Brighton
9. Leo Trossard 5/10
Couldn't quite impact the match in the final third. Kept probing away but nothing really came off for the Belgian international
10. Steven Alzate 6/10
Good to see him start once more. Bright opening and drove forward at every opportunity. Faded after the break and replaced by Lallana on 67 minutes
11. Danny Welbeck 7/10
Cracking first time finish from Tau's throughball for the opener. Led the line and had a good battle with Dawson. Showed his class in the big moments once more
12. Adam Lallana 6/10
On for Alzate on 67 had little impact