The Malaysian team arrived at the Palais de Justice in Paris shortly before 2:00 pm (local time) to meet with a French judge, a group of experts and police charged with the investigation.
The meeting broke out after two hours and the Malaysian delegation left without comment to waiting reporters.
They were due to release a statement after the meeting.
France is leading the current phase of the investigation after a two-metre-long flaperon, already confirmed to be part of a Boeing 777, surfaced last week on the French Indian Ocean island of La Reunion.
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Mauritius said it would do all it can to search for more debris after Malaysia appealed to islands near La Reunion to hunt for clues.
In one of the most baffling mysteries in aviation history, MH370 inexplicably veered off course in March 2014 and disappeared from radars, sparking a colossal hunt that has until now proved fruitless.
In January, Malaysian authorities declared all 239 people on board MH370 presumed dead.
It will be examined with an electron microscope "that can magnify up to 10,000 times" to try to understand how it was damaged, said Pierre Bascary, former director of tests at France's General Directorate for Armaments.
However, experts have warned grieving families not to expect startling revelations from a single part. "We shouldn't expect miracles from this analysis," said Jean-Paul Troadec, former head of France's BEA civil flight authority.
In order to provide clues on what happened to the aircraft, "the part would need to be at the centre of the accident and the chances are fairly small," he noted.
If the barnacles are found to be from the Lepas family, "we can then say with certainty that the accident took place in cold maritime areas to the south-west of Australia," Herbig said.
Meanwhile, more than 9,000 km away, locals on La Reunion were scouring the beaches for more debris. Yesterday, there was a frenzy of speculation over what locals believed to be a plane door, but which authorities quickly identified as part of a domestic ladder.