The Premier League champions were blown away by a first-half blast from Bayern Munich on Tuesday and, while Chelsea finished strongly against Inter Milan, there were further moments of defensive disarray, in addition to Stefan Jovetic and Ivan Perisic's strikes either side of the break.
The Belgian global has been in fine form for Chelsea in pre-season as he hopes to play his way into Antonio Conte's plans for the Premier League season.
The striker, who joined from Real Madrid for a reported £70million fee, started on the left of a front three with Michy Batshuayi playing down the middle, but the Spain worldwide struggled to make an impression.
Luiz then saw a free header blocked by the body of Milan Skriniar, but Inter were ahead late in the half.
Victory over Chelsea made it three ICC wins out of three for Inter and Spalletti was satisfied with his side's preparations for the new campaign.
That glorious own-goal comes via Geoffrey Kondogbia, the talented 24-year-old French defender.
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With time fast running out, Michy Batshuayi thought he had restored parity for Chelsea but his goal was disallowed for offside.
Conte will also be pleased to see the return of injured duo Eden Hazard and Pedro to his first-team squad.
The Premier League champions face FA Cup winners Arsenal in the Community Shield at Wembley next Sunday, but don't go into that game in particularly convincing form.
It overshadowed what had otherwise been an impressive performance by Inter, and in particular Manchester United target Perisic.
Two days after the Italian side beat Bayern Munich 2-0 at the same venue, Stevan Jovetic and Ivan Perisic put Inter into a commanding lead before a freaky own goal from Geoffrey Kondogbia gave Chelsea hope of a late recovery.
In the 74th minute, the Blues grabbed a consolation, when Kondogbia's attempted back pass from 40 yards looped over Inter's keeper Padelli and ended at the back of the net to make it 2-1.