Two late Eden Hazard goals gave the scoreline a much more respectable look, but Conte’s men were 3-0 at half time – and Romelu Lukaku’s £60 million arrival from Everton cannot come quickly enough for the Italian. Nor can the debut of new £32m midfielder N’Golo Kante.
Chelsea are close to agreeing a deal for Lukaku, who they sold to Everton in 2014 for £28 million, and it is expected to go through this week.
With key man Diego Costa again absent because of a back strain, Chelsea are weak in attack – but have problems in defence and midfield too.
It was Real skipper Marcelo, one of only three players who started his club’s Champions League win over bitter rivals Atletico, who did the early damage.
There was no Cristiano Ronaldo or Gareth Bale – both given time off by manager Zinedine Zidane – on show for Real. But it was Marcelo who began the destruction, when he cut in and cracked in a shot which was deflected past Asmir Begovic.
Begovic made several good saves, , but seven minutes later it was brilliant Brazilian fullback Marcelo who struck again, Chelsea youngster Ola Aina losing the ball, Marcelo held off Matic’s challenge and slotted his shot home.
Begovic was then badly exposed again when Mariano Diaz thundered in a glorious swerving shot from 30 yards.
Conte made four changes at half time, as he brought on Thibaut Courtois, Nathanial Chalobah, Juan Cuadrado and new boy Michy Batshauyi.
The crowd was a remarkable 105,826 – the biggest Chelsea have ever played in front of in their history.
And right at the end the large blue contingent at last had something to cheer, as sub Eden Hazard pulled one back with a cool strike. And then in stoppage time the Belgian did it again, racing away to coolly score.