The Catalan side said they will be presented with the league trophy on Friday during a special celebration in the city.
Italy face the shocking possibility of failing to reach the World Cup for a third consecutive time.
The result means Real, on 49 points, are one point clear of Atletico Madrid, who beat Mallorca 2-0, ahead of next weekend's Spanish capital derby at Santiago Bernabeu.
Raphael Varane converted two corners as a second-string Real Madrid began the defence of their King's Cup crown with a 4-1 victory against third-tier part-timers Cornella on Wednesday.
A round-up of Saturday's action in LaLiga, Ligue 1, Serie A and Bundesliga.
Champions Liverpool suffered a shock 1-0 defeat to lowly Burnley on Thursday, ending their 68 match unbeaten home record in the Premier League as their title defence continued to fade.
Sami Khedira spent the night under observation in hospital after suffering a concussion in Tuesday's King's Cup game.
The Spanish soccer federation (RFEF) said on Tuesday Messi had been banned for two matches, meaning he will miss Thursday's Copa del Rey last-32 tie at Cornella and Sunday's La Liga match away to Elche.
Barcelona dropped points for the third time in four league games as they were held 0-0 by local rivals Espanyol in a heated Catalan derby. Atletico Madrid moved two points clear of Barca at the top of the table, having played a game more, thanks to substitute Thomas Partey's late winner to edge past Levante 1-0. Real Madrid now trail Atletico by five points ahead of their trip to Valencia on Sunday.
Barcelona star Neymar was subjected to allegedly racist chants during Saturday draw at local rivals Espanyol, his teammate Andres Iniesta confirmed. Though manager Luis Enrique declined to comment on the chants, Neymar's teammates called for the individuals responsible to be punished.
Real Madrid did not specify if he would be out of action for any length of time
News of all that's transpired on and off the football field
Lionel Messi and Luis Suarez both hit the woodwork as Barcelona were held 0-0 by Espanyol in a hard fought derby that could see Atletico Madrid go top of La Liga.
Third-placed Valencia missed a chance to open a five-point lead over chasing Malaga when the Europa League semi-finalists crashed to a 4-0 reverse at Espanyol in La Liga on Sunday.
Espanyol struck three goals in four minutes to snatch a dramatic 3-2 comeback win at home to third-tier Mirandes in a King's Cup quarter-final first leg on Tuesday.
Real Madrid recovered from the second-minute dismissal of goalkeeper Iker Casillas to secure a battling 1-0 win at Espanyol on Sunday and cut Barcelona's lead at the top of La Liga to five points.
Lionel Messi scored two spectacular free kicks as Barcelona thrashed local rivals Espanyol 4-0 in Saturday's Catalan derby to move three points clear at the top of La Liga.
News of all that's transpired on and off the football field
Real Madrid closed to within three points of La Liga leaders Barcelona and Atletico Madrid at the halfway stage of the season when a Pepe header secured a laboured 1-0 win at mid-table Espanyol on Sunday.
Barcelona kept up the pressure on La Liga title rivals Atletico Madrid and Real Madrid when Lionel Messi struck from the penalty spot in a 1-0 win at Espanyol in Saturday's Catalan derby.
Real Madrid forward Cristiano Ronaldo ended his early-season drought in emphatic style when he hit five goals in a 6-0 romp at Espanyol on Saturday to become the club's record scorer in La Liga.
Paris St Germain suffered their first defeat of the season when they were beaten 2-0 at Stade Rennais on Sunday to drop their first Ligue 1 points of the season.
Real Madrid rested Cristiano Ronaldo and suffered a fifth Liga defeat of the season as Espanyol's Gerard Moreno struck late for a 1-0 win over the Spanish and European champions.
David Moyes continued his unbeaten start at Real Sociedad when he rested a host of regulars in a 0-0 draw at third-tier Real Oviedo in a King's Cup last-32, first-leg match on Thursday.
The Spanish government has pledged to stop the poll, which is declared illegal by the country's constitutional court.
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Holders Barcelona cruised into the King's Cup quarter-finals when a side missing several regulars beat city rivals Espanyol 2-0, with Munir El Haddadi netting both goals in a thumping 6-1 aggregate success on Wednesday.
In other matches, super-sub Messi helped Barca romp past Atletico
Barcelona followed up Saturday's win over Real Madrid with another victory when Alexis Sanchez set the champions on their way to a 3-0 success at Celta Vigo on Tuesday that put them four points clear at the top of La Liga.
While Gareth Bale is fully expected to regain his place in the Real Madrid side when he returns from injury, team mate Isco is making the most of his chance to prove his worth on the pitch.
News of all that's transpired on and off the football field
Manchester City made it five wins out of five in the Premier League and Cristiano Ronaldo scored five goals for Real Madrid but Chelsea and Juventus continued to struggle at the weekend as the Champions League looms.