Real Madrid faced city rivals Atletico Madrid at the top of the standings with a 3-1 win over Eibar, while Milan striker Rafael Leo scored the fastest goal in Serie A history in Italy.
Like rivals Barcelona, Real’s form will be closely watched at the start of the season, but Sunday’s quick start gave them a win that took them to pole position at Atletico on 29 points.
Goals in the first 13 minutes by Karim Benzema and Luka Modric got Zinedine Zidane’s side on the scoresheet and although Kike pulled one out, Lucas Vazquez scored late.
Bryce Mendes scored both goals as Celta Vigo beat Alaves with the same result, while Getafe won 2-0 at Cadiz, Juan Hernandez and Nemanja Maksimovic.
In Serie A, Rafael Leo won a place in the record as Milan remained top of the table with a 2-1 win at Sassuolo.
The Portuguese striker scored just six seconds later, breaking the 19-year-old Serie A record of Paolo Poggi, who scored eight seconds later for Piacenza against Fiorentina.
Alexis Saelemaekers doubled Milan’s lead before the break before Domenico Berardi’s free kick in the 89th minute gave the hosts hope.
Second Inter remain a point behind their city rivals despite a slow 2-1 win over Serie A newcomers Spezia.
Antonio Conte’s men had to wait until the 52nd minute before Ahraf Hakimi came out of the deadlock and Romelu Lukaku’s 71st minute penalty almost ended the win despite stopping Roberto Piccoli.
Atalanta bounced back from Edin Dzeko’s early opener and scored an impressive 4-1 win over Roma with second-half goals from Duvan Zapata, Robin Gossens, Luis Muriel and Josip Ilicic.
Lazio beat Napoli 2-0 on 10 minutes through goals from Ciro Imobile and Luis Alberto in the second half.
Genoa are now winless in 12 Serie A games after losing 2-0 at Benevento, Roberto Insine and a late penalty from Marco Sau which caused the damage.
Roberto Soriano scored a late 1-1 goal for Bologna in Turin, led through Simone Verdi, while Cagliari and Udinese also scored 1-1.
Paris Saint-Germain remain third in Ligue 1 after a goalless draw with leaders Lille, who had the best chance when Burnel Yilmaz’s powerful shot was well blocked by Presnel Kimpembe.