Karim Benzema scored twice for Real Madrid in a 3-2 win against Levante with Eden Hazard making his La Liga debut while later Barcelona breezed to a 5-2 win against Valencia with more magic from 16-year-old Ansu Fati.
Benzema's goals came just six minutes apart in the first half at a wet Santiago Bernabeu, before Casemiro put Real 3-0 up.
However Levante, who had won their previous two outings, made a fight of it in the second half as they pulled goals back through Borja Mayoral and Gonzalo Melero.
"The second half was more difficult for us, but the overall feeling was positive," said coach Zinedine Zidane, whose team had drawn their previous two games.
"We have got the three points and we were incredible in the first half, the way we played, the goals, the commitment. We just need to stay focused for the full 90 minutes."
"I am happy for him," said Zidane. "He will do us good. He is not ready yet though -- he has only trained four times with the team. But when everyone is fit, when we have our rhythm, we will hurt teams."
- Fati scores again -
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"To get used to being a Barca player is work for anyone, even more so for a boy so young, but he's a balanced kid, he strikes me as being at ease."