The police and army on the Indian Ocean island of Reunion have called off their search for more debris from the wreckage of missing Malaysia Airlines flight MH370, police say.

A piece of wing was found on the shore of the French-governed island last month and Malaysian authorities have said paint colour and maintenance-record matches proved it came from the Boeing 777 aircraft which vanished last year.

Ten days of searching involving an army plane, two helicopters and a police speedboat have not found any more wreckage.

Washed-up objects including water bottles have been passed on to investigators in case they can be linked to the plane, police said on Monday.

"The statistical chances of discovering debris from the MH370 during coordinated searches appear to be extremely small," Reunion police said, adding that they would continue to be vigilant.

The piece of wing, known as a flaperon, was the first real clue in what has become one of the greatest mysteries in aviation history.

The plane disappeared in March last year en route from Kuala Lumpur to Beijing with 239 passengers and crew on board, most of them Chinese.

Malaysian transport minister Liow Tiong Lai said 10 days ago that investigators on Reunion had collected more aircraft debris, including a plane window and aluminium foil, but there was no confirmation they belonged to the missing plane.

Reuters