Manchester City beat Aston Villa 1-0 to move into second place in the Premier League.
Former Real youth player Joselu pulled a goal back for Alaves in the 59th minute, powering in a header from a free kick, but Benzema rounded off the victory for second-placed Real with an exquisite solo run and goal in the 70th minute.
Real Madrid thrashed Villareal 5-0 while arch-rivals Barcelona beat Athletico Madrid 3-1 on Sunday.
Michael Owen has given coach Steve McClaren a lift before September's Euro 2008 qualifiers by returning to action.
A stunning 87th-minute free kick by captain Steven Gerrard gave Liverpool a 2-1 victory at Aston Villa as the new Premier League season opened on Saturday.
Brief reports of Premier League matches on Saturday.
The Manchester United midfielder pulled off a rare double when he was named both PFA Player of the Year and Young Player of the Year.
Aston Villa captain Micah Richards became embroiled in a heated pitchside debate with disgruntled fans on Saturday as the Premier League strugglers' desperate season unravelled further with a 1-1 draw at fourth-tier Wycombe Wanderers in the FA Cup.
Minor league Eastleigh suffered FA Cup heartbreak when they conceded a late equaliser to four-times winners Bolton Wanderers on a gluepot pitch at their snug Ten Acres ground on Saturday.
Liverpool came within a point in the battle for third after they drew 0-0 at Aston Villa.
Cesc Fabregas and Sol Campbell are doubtful for Champions League semi-final first leg against Villarreal
Manchester United beat Aston Villa 3-1 to maintain their six-point Premier League lead.
Ole Gunnar Solskjaer struck in injury time to earn Manchester United a 2-1 home win over Aston Villa in the third round of the FA Cup on Sunday.
Everton yet to receive clarification after City game postponed: Ancelotti
Chelsea's hopes of winning a third consecutive Premier League title have taken a knock with a third straight draw, their first match this season without scoring.
Jose Mourinho said Father Christmas must be a Chelsea fan after his side grabbed a last-gasp 3-2 win at Wigan Athletic on Saturday.
Leaders Manchester United registered a resounding 3-0 victory at Aston Villa, while Chelsea scored a last-gasp 3-2 win at Wigan Athletic.
Sixth-placed Arsenal slumped to a 3-2 home defeat by West Ham United.\n
Smart goalkeeping by Thomas Sorensen enabled Aston Villa hold Wigan Athletic 0-0 in the English Premier League.
The defending champions beat Blackburn Rovers 2-0 to move to fourth place in the Premier League.
The Turkey defender was allowed to spend time with his family, his club Aston Villa said.
Aston Villa will try to become the first side to score against Chelsea this season when they visit the champions on Saturday.
It was United fifth draw in nine games and leaves them in fourth place in the Premiership.
Striker Georgios Samaras scored his fourth goal in eight games for his new club to give them a 2-1 victory over Aston Villa.
Chelsea's hopes of catching leaders Arsenal suffered a setback after a 3-2 defeat at Aston Villa in the premier league.
Michael Owen's first-half double helped Liverpool crush Blackburn Rovers 4-0 and reclaim fourth place in the English premier league.
England coach Sven-Goran Eriksson has no intention of not honouring his contract and would like to extend it to the 2010 World Cup, his agent said on Sunday.
The Arsenal defender will be sidelined for two weeks after sustaining an ankle injury.
Manchester beat Aston Villa 2-0 to slash Chelsea's Premier League lead to six points.
News of all that's transpired on and off the football field
Chelsea begin their Premier League title defence against Swansea City on Saturday in the unusual position of heading into a new season having been significantly outspent by their rivals.
The champions beat Aston Villa 2-1 while Manchester United went down 1-2 at home to Blackburn Rovers in the Premier League.