Goals by Federico Fazio and Alvaro Negredo, the latter from a disputed penalty, within five first-half minutes ultimately proved enough for the hosts.
Alexis, playing against the team from whom he is on loan, headed Getafe back into the game early in the second half but they could not find an equaliser and it was Sevilla who looked more likely to score again, with Ivan Rakitic hitting the crossbar.
Sixteen-year-old Fabrice Olinga came off the bench to score the winner on his debut for Malaga as they spoiled Celta Vigo's return to Spanish football's top flight with a 1-0 win at Balaidos.
Enrique de Lucas had wasted a number of chances to take the lead for the hosts, back in the Primera Division after five years, early in the second half as the former Chelsea midfielder was twice denied by fine saves from Willy Caballero and also chipped wastefully wide when clean through on goal.
Manuel Pellegrini's changes gave Malaga an extra gear and two of the subs combined for the goal seven minutes from time as Diego Buonanotte got to the byline and cut the ball back for Olinga to bundle it into the empty net off his thigh.
Celta should still have snatched a point at the end but Gustavo Cabral somehow smashed the ball against the bar when presented with an open goal to leave the Galicians empty handed.
Olinga's goal saw him become the youngest goalscorer in Primera Division history, Malaga confirmed on their website.
At 16 years, three months and six days old, the Cameroon-born striker also was also Malaga's youngest-ever debutant.
Tomer Hemed scored at either end of the match to earn Mallorca a season-opening 2-1 win over Espanyol.
The Israel international was on the spot after two minutes and then pounced on a stray ball with five remaining to render Mubarak Wakaso's equaliser worthless.
His winner came after Michael Pereira's drive had come back off the bar, with the 25-year-old rewarded for showing better reactions than the visiting defence.
Chelsea won the Europa League on Wednesday. The Blues defeated Benfica 2-1 on injury time goal from Ivanovic.
The Liverpool 2013/14 soccer jersey is available for pre-order. The Reds are eager to compete for silver next season.
Borussia Dortmund hears Wembley Calling and are headed to London for the Champions League final.
Bayern Munich are kings of Germany and hope to be crowned kings of Europe at Wembley later this month!
The Juventus jersey for the 2013/14 was released earlier this week. Be the first to wear the colors of the Old Lady.
Ajax has released their away soccer jersey for the 2013/14 season. Get in the Gear.
The adidas Nitrocharge is the most talked about new cleat in years. It was released on May 15 and will take your pitch by storm.
adidas has added some color to the Predator line with this new colorway. Released on May 17. Be the first to own a pair.
The new PUMA evoSPEED 1.2 FG. A great new soccer cleat with classic look and first time for PUMA to be on the cleat.
One of the top soccer cleats for control the Nike CTR360 will not let you down on the field in tight spaces.