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Real Madrid climbed to the top of the standings with 14 points from six games, one point and one place ahead of Atletico Madrid, whom they face on Saturday.
Bale has a long and successful record playing at Villarreal, scoring there on his Real debut in 2013 after completing his 100 million-euro move from Tottenham Hotspur and netting in a 3-2 win in 2017 and a 2-2 draw in 2018.
Real Madrid are top with 15 points from seven matches and Atletico stayed third with one point less.
Karim Benzema scored twice for Real Madrid in a 3-2 win against Levante with Eden Hazard making his La Liga debut while Barcelona breezed to a 5-2 win against Valencia with more magic from 16-year-old Ansu Fati.
The defendant, a member of the 2002 World Cup's runners-up team, was accused of sending pictures with child pornographic content to a recipient in Hamburg via WhatsApp.
Real, European champions 13 times and three years in a row from 2016-18, failed to muster a shot on target and suffered their first defeat of the season.
Real Madrid produced a rampant first-half display to beat Levante 3-2 in La Liga on Saturday with goals from Karim Benzema and Casemiro but dropped off after Eden Hazard came on to make his debut and were left clinging on for the three points.
The Brazilian became the second-youngest player to score a hat-trick in the Champions League after Real great Raul in his team's 6-0 win.
The victory allowed second-placed Real to stay in touch with leaders Barcelona, who also have 28 points after 13 games but top the standings due to their superior goal difference.
PSG pulled off an unlikely turnaround as Mbappe capitalised on a defensive mix-up to pull one back in the 81st minute before Pablo Sarabia, once of Real, drove into the top corner second later.
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