Aircraft debris had been found on the island in South Australia on June 9, and was examined by Australian and Malaysian authorities, along with Boeing.
Photos of the items, which included purses, backpacks and part of a laptop case, were made public to help investigators ascertain if they came from the missing jet.
An Australian aviation expert has said the jet likely went down west of the Malaysian mainland, thousands of miles from the current search area.
The possible debris, awaiting verification from Australian and Malaysian authorities, are believed to be parts of a seat and a cover panel of a plane wing.
Strong winds and rough seas have prevented search vessels from scanning the Indian Ocean for the past four weeks.
The three new pieces of debris will be sent to Australia to test for links to the missing jet, authorities said Thursday.
A doctor in South Africa found and photographed an engine cowling linked to the missing plane in December but walked away due to its condition.
An Australian agency released a photograph of the aircraft engine cowling after critics raised doubts over the debris pieces’ links to the missing jet.
Australia, China and Malaysia have been jointly searching for remains of an aircraft that vanished in March 2014.
Without new leads, the Malaysian government said Wednesday it would allow the search to end as previously agreed.
Martin Dolan, the head of the Australian Transport Safety Bureau, said authorities “have to contemplate now the possibility” that the plane, which went missing in 2014, will not be found.
Malaysia's transport minister said that officials from Malaysia, Australia and China will meet by June or July to "chart the future of the search."
The two pieces of debris were found independently on beaches at Mossel Bay, South Africa, and Rodrigues Island in Mauritius.
More than 40,000 square miles of the total search area of 46,332 square miles have so far been scoured, with operations expected to be called off in July.
Australia’s government has opted against further funding to help locate a Malaysia Airlines passenger plane that vanished in March 2014.
Australia has spent nearly $90 million scouring more than 40,000 sq. miles in a desperate attempt to find the wreckage of the missing Malaysia Airlines plane.
South Africa and Mozambique granted permission after recently found items were deemed “almost certainly” from a missing passenger jet.
Two pieces of airplane debris found on the Mozambique coast will be sent to Malaysia for further examination.
The center leading the investigation for the missing plane announced Wednesday a vessel was en route to help it find a towfish lost in the ocean last month.
The transport minister told reporters Sunday that three pieces of wreckage had arrived from Africa.
The ship, fitted with key search equipment, will attempt to recover a lost towfish deep-water detector, which hit an underwater volcano and sank.
The discovery of the new piece comes as several suspected Flight MH370 debris were found over the last few weeks near South Africa.