Real Madrid moved to the top of La Liga, level on points with rivals Atletico, after they won 3-0 at Cadiz, where Karim Benzema scored twice.
Karim Benzema's fine run of form continued with a double as Real Madrid won at Celta Vigo to move up to second place in La Liga.
Lautaro Martinez's late winner stretched Inter's winning run to eight games, while Cristiano Ronaldo answered his critics with a perfect hat-trick.
Barcelona needed extra-time to squeeze past third-tier Cornella and avoid becoming the second Spanish giant to be knocked out of the Copa del Rey in successive days.
Lionel Messi was sent off for the first time in his Barcelona career in the closing stages of extra time as they lost 3-2 to Athletic Bilbao in the Spanish Super Cup.