Tesla is now facing demands to recall Model X cars for faulty moulding, following an earlier order to recall 158,000 cars in the United States for touchscreen safety issues.

The company must recall around 12,300 Model X cars worldwide due to car body mouldings problems, Germany's motor vehicle authority has announced.

Reuters reports that the KBA authority said the recall affects cars built in 2015 and 2016, adding there was a risk that the moulding could fall off the vehicle and pose a safety risk.

It’s unclear at this stage whether the problem is the same one as highlighted by the US National Highway Traffic Safety Administration in January, after which Tesla began recalling 9,500 Model X cars for an issue with faulty roof trim adhesive.

Earlier, according to Reuters, the same German authority said it was looking into safety risks related to touchscreen displays in Tesla cars and had asked the car maker to provide information following a similar request by U.S. authorities.

The U.S highway safety agency had asked Tesla to recall 158,000 Model S and Model X vehicles over media control unit (MCU) failures that could pose safety risks by leading to touchscreen displays not working.

A KBA spokesman told Bild am Sonntag newspaper that German authorities were in contact with the NHTSA and that the KBA had launched its own investigation.

"The result of the review is still pending," the spokesman told Reuters.

The American safety agency made the unusual request in a formal letter to Tesla after upgrading a safety probe in November, saying it had tentatively concluded the 2012-2018 Model S and 2016-2018 Model X vehicles contain a defect related to motor vehicle safety.

A Tesla spokeswoman and a KBA spokesman did not immediately respond to e-mailed requests to comment.