While Barcelona rolled to victory yesterday, Real Madrid needed a late header by new midfielder Francisco "Isco" Alarcon to edge out Real Betis 2-1 at home in the first game with Carlo Ancelotti in charge after three season under Jose Mourinho.
Madrid's lackluster showing will add more pressure on president Florentino Perez to pay the hefty price Tottenham desires for forward Gareth Bale to reinforce its attack.
With signature signing Neymar watching from the bench, Messi almost single-handedly dismantled the overmatched Levante.
After Alexis Sanchez opened the scoring, Messi claimed Barcelona's second goal, stole possession to create the third, and passed for Pedro Rodriguez to score the fourth.
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Messi scored his second goal from the penalty spot before Xavi Hernandez made it 6-0 against the demoralized visitors to equal a club record of goals in a first half.
"We saw great football and great goals in the first half," said Neymar. "I'm getting better physically, little by little. I hope to be 100 percent soon. We have started well, with a win. That's the important thing.