The game came to life in the last 10 minutes as an Anthony Knockaert's finish in the 82nd minute was cancelled out by a Rooney penalty in the 90th minute.
However, Brighton defender Bruno was guilty of conceding an 88 minute penalty after fouling Dominic Calvert-Lewin in the box and Rooney duly capitalised.
However, the goal is unlikely to lift the pressure on Everton manager Ronald Koeman, whose out-of-sorts side are still without an away win since January. Knockaert had given Brighton the lead eight minutes earlier when Morgan Schneiderlin failed to clear the ball in his own box.
Man angry at baggage fees forces evacuation of LaGuardia with bomb 'joke'
The New York Police Department's bomb squad investigated the bag and determined that the threat was unfounded. Saturday morning after a male passenger had an altercation with a Spirit Airlines ticket agent.
"Koeman will be judged by results, this was another poor one & poor performances v poor side (sic). At least it's one point".
"We have been in every game and are going to have to play at a certain level - if you play below that you'll get beat".
Everton nearly snatched a victor at the death but Ryan pulled off a fine double save to deny Kevin Mirallas.
- Wayne Rooney has now scored against 36 of the 39 different clubs he's faced in the Premier League - only Frank Lampard (39), Andrew Cole (38) and Alan Shearer (37) have scored against more in the competition (Jermain Defoe also 36). We learned that the first game of the season and that was again the case. As Sigurdsson delivered a free kick, Bruno was penalised for a foul in the area after elbowing Calvert-Lewin in the face, and saw referee Michael Oliver point to the spot.
A late Rooney penalty meant the teams shared the points in a game where Brighton were arguably the better side. We deserved something. We started well and controlled the game.