Real Betis and Valencia continue to set the early pace in La Liga, while Rangers beat rivals Celtic to open up a four-point lead in the SPL.
Napoli, Juventus, Udinese and Cagliari all won to jointly top the fledgling Serie A table, with giants AC Milan and Inter Milan still searching for their first successes.
Lyon reclaimed pole position at the top of Ligue 1 on Sunday as did Bayern Munich in the Bundesliga, while FC Twente and AZ Alkmaar moved to the head of the Eredivisie.
Real Madrid suffered a shock 1-0 defeat away to Levante on Sunday while Real Betis beat Athletic Bilbao 3-2 to maintain their 100 per cent start to the campaign.
Roberto Soldado was on target as fellow joint leaders Valencia beat Sporting Gijon on Saturday, with Barcelona firing eight past Osasuna.
Steven Naismith notched a brace as Rangers beat Old Firm rivals Celtic 4-2 at Ibrox to open up a four points gap at the top of the SPL.
Motherwell missed the chance to move into second after going down 3-0 at home to St Johnstone, while Hibernian climbed off the bottom of the table after drawing 2-2 at Dunfermline.
Edison Caavani score a superb hat-trick as Napoli hit the top of the fledgling Serie A table by beating champions AC Milan on Sunday.
Juventus and Udinese also won to maintain their 100 per cent record, as did Cagliari.
Atalanta reduced their deficit at the bottom with victory over Palermo, while Inter Milan and Roma both picked up their first points of the season with a 0-0 draw at Giuseppe Meazza.
Bafetimbi Gomis and Michel Bastos scored as Lyon reclaimed pole position at the top of Ligue 1 on Sunday by beating troubled Marseille 2-0 as Paris St Germain survived a scare away to Evian.
The day previously, Montpellier were held on their travels in a 2-2 draw at Brest and Valenciennes moved off the bottom of the table with an emphatic 4-0 win over Dijon.
Thomas Muller was on target as Bayern Munich reclaimed top spot in the Bundesliga after beating Schalke on Sunday as champions Borussia Dortmund suffered another defeat at Hannover.
On Saturday, goalkeeper Tim Wiese was sent off for Werder Bremen as they held on to a 1-1 draw with FC Nurnberg to briefly move to the top of the table.
Luke de Jong scored a brace as FC Twente thrashed ADO Den Haag 5-2 to take a joint lead at the head of the Eredivisie with AZ Alkmaar, who beat RKC Waalwijk.
Ronald Koeman's Feyenoord briefly moved to the top of the table the day previously after beating 10-man De Graafschap.
Best of the rest
Club Brugge are top in Belgium after beating Lokeren 2-1, Benfica became joint leaders with Porto in Portugal after beating Academica 4-1, while Bursaspor, Eskisehirspor, Fenerbahce, Istanbul BB and Antalyaspor all won to set the early pace in the Turkish top flight.