Mounir El Hamdaoui enjoyed a dream debut for Malaga by scoring a hat-trick in a 5-0 rout of Rayo Vallecano.
The Morocco international, who joined the Andalusians on loan from Fiorentina over the summer, opened the scoring just after the half-hour, then added two goals in the second half.
Francisco Portillo and Eliseu Pereira were also on target as Bernd Schuster earned his first win as Malaga coach.
Rayo, meanwhile, suffered their second 5-0 defeat in three games and have now lost in three successive matches.
Malaga had Rayo on the back foot immediately, with goalkeeper Ruben Martinez forced to make a smart save after just three minutes to keep out a cross-shot from Pedro Morales.
A minute later, Malaga centre-back Marcos Angeleri headed another cross from Morales over the bar, before Eliseu sent a free-kick just wide. Morales then had a shot of his own at goal, which was comfortable for Ruben to push away.
Rayo slowly found their feet and started creating chances. The best fell to striker Joaquin Larrivey, who slid in to meet a low cross from Roberto Trashorras but was unable to hit the target from close range.
Just when the visitors looked in control, they conceded. A long ball from Angeleri found its way to Antunes, who reached byline and put in a deep cross towards the far post for Hamdaoui to volley into the top corner from six yards out.
Malaga pounced again before the break, Morales this time playing El Hamdaoui in on the left side of the box, and the striker squared to Portillo who could not miss.
Malaga extended their lead four minutes after the break, Eliseu rounding off a move between Portillo and Sergi Darder by turning Rayo full-back Tito on the edge of the box and then curling a right-footed shot into the far corner.
El Hamdaoui scored his second goal of the game when arriving in the six-yard-box to slot home a cross from Morales, and the 29-year-old completed his treble five minutes later, this time beating three Rayo defenders with one deft turn and firing past Ruben at his near post.
Osasuna's winless start to the new season continued as Getafe got their own campaign up and running with three hard-earned points in a 2-1 victory.
The visitors, now coached by Javi Gracia following the sacking of Jose Luis Mendilibar earlier this month, had plenty of chances over 90 minutes and took the lead through Roberto Torres after 11 minutes.
But Getafe hit back to take their first win of the season thanks to Miku's brace either side of the interval.
Osasuna kept pushing right to the death and were unlucky not to take at least point from the game after Oriol Riera struck the bar inside the final five minutes.
Salva Sevilla struck twice in Andalusia as Real Betis found Valencia ripe for the taking to record their first win of the season.
Salva scored in the 22nd and 34th minutes at the Estadio Benito Villamarin - adding to Jorge Molina's ninth-minute opener - as Valencia were blown away.
It was a woeful first-half showing from Los Che, whose coach Miroslav Djukic is finding life in charge of a side shorn of its stars a struggle.
With Roberto Soldado at Tottenham and David Albelda retired, Valencia are struggling to make headway this season and have just three points, with Ricardo Costa's goal their only notable moment in this clash.
They had actually started brightly - Jonas heading wide - which made what followed so surprising.
With nine minutes on the clock, Salva rolled a simple ball into the feet of Molina and unchallenged he drilled a low, raking effort from the edge of the area beyond Diego Alves.
It was a well-taken goal from Molina but nothing compared to Salva's brilliant first.
A late winner from Manuel Lanzarote allowed Espanyol to beat Granada 1-0 away from home in controversial circumstances as they moved up to fifth in the Primera Division.
He started the move midway through the Valencia half and, in the blink of an eye, passes were threaded by Juanfran and Molina, leaving Salvo clean through and with the time to slot beyond Alves.
The midfielder was enjoying the run of the field and his second soon arrived, with Alvaro Vadillo's brilliant no-look pass putting him clear on the left and he tucked in a third.
He worked Alves before the break too as he sought out a first-half treble, while better accuracy from Molina could have made it four when the keeper failed to fully deal with Salva's free-kick.
Javier Matilla also stung the palms of Alves and another goal looked inevitable, although when it arrived - Costa heading in Ever Banega's cross - it was not the strike many expected.
Cedrick got Betis back on the front foot and drilled a shot at Alves and the striker, such a livewire since joining from Numancia for little over a thousand euros, then cracked an effort just over.
There would be no further goals, though.
The midfielder struck the only goal of the game on 76 minutes following an indirect free-kick inside the Granada area which was wrongly awarded for a backpass.
Referee Ignacio Iglesias Villanueva then further angered the home crowd at El Nuevo Los Carmenes by sending off Odion Ighalo for dissent.
The result means Espanyol are still unbeaten after four games and move up one place above Athletic Bilbao, while Granada remain on four points, in 10th place.