The win moved the Catalan club one point behind fourth-place Atlético Madrid in the final Champions League spot and 15 points behind league leader Real Madrid with a game in hand.
Federico Valverde scored in extra time to give Real Madrid a 3-2 win over Barcelona on Wednesday for its 100th victory over its storied rival and a spot in the final of the Spanish Super Cup.
Madrid added the defender and midfielder on Tuesday to the list that already included Luka Modric, Marco Asensio, Rodgyro, Gareth Bale, Marcelo, and backup goalkeeper Andriy Lunin.
Although Real are potentially without six players for Sunday's Liga match against Cadiz, only Modric and Asensio started in their last match, against Atletico Madrid.
Sevilla pulled to within five points of the pace-setter a day before Madrid faces Atlético Madrid in a derby that the visitor needs to win to keep alive its title defense.
Madrid and Barcelona are also backers of the Super League, an alternative to the Champions League that the Spanish league and other domestic competitions have criticized.
Benzema was found guilty of being involved in an attempt in 2015 to blackmail France teammate Mathieu Valbuena.
The 35-year-old defender has not played for PSG since joining the French side after leaving his long-time club Real Madrid in July due to a recurring problem with a calf muscle.
The victory left Madrid with nine points in Champion's League Group D, two more than Inter Milan, which won 3-1 at third-place Sheriff. Sheriff has six points, and Shakhtar is last with one point.
Hazard, who cost Madrid 100 million euros ($115 million), has endured an injury-plagued two years since joining from Chelsea and he has not started any of their last five matches.
Madrid boss Carlo Ancelotti has also suggested Bale could return to his squad for Saturday's La Liga match against Rayo Vallecano.
Madrid jump above Sevilla, Real Betis and Real Sociedad - all four of them with 21 points - on goal difference while Osasuna sit sixth after extending their strong start to the season.
The league said it will take the case to Spanish authorities so they can pursue the necessary measures against the fan.
Madrid is the powerhouse looking the best as defending champion Atlético Madrid stutters because of its unusual defensive problems and Barcelona continues to struggle without Lionel Messi.
Defender Alaba turned goal-scorer in the 32nd minute with a wonderful curling shot from the left side of the area that the outstretched Marc-Andre ter Stegen could not stop.