They were part of the collection owned by Yves Saint Laurent and his partner Pierre Berge.
The sculptures have already been in the news this year, when they were put up for auction in February, despite protests from Beijing.
A Chinese collector bid 15.7 million euros ( $23m, £14m ) for them, but subsequently refused to pay, leaving the bronzes to sit in a safe.
Chou Kung-shin, director of Taiwan's National Palace Museum, said she had met Mr Berge but no deal to exhibit the bronzes had been reached.
"In accordance with professional museum ethics, we can't collect disputed artefacts," she told reporters.
"I wanted to give them to the Taiwan museum, but they didn't want to create a bone of contention... with mainland China," Mr Berge told a French radio station on Monday.
Meanwhile Taiwan and China have opened the first joint exhibition by their two leading museums in six decades.
The joint exhibition is being held at Taipei's National Palace Museum
"This exhibition is a landmark indicator of the exchanges launched by the two museums more than half a year ago," said Zheng Xinmiao, the head of the Palace Museum in Beijing.
The exhibition - in Taipei's National Palace Museum - features items from the Qing Dynasty Emperor Yongzheng, including 37 items of the royal collections from the Palace Museum in Beijing and 209 items owned by the Taiwan museum.
Analysts say the loan of the Chinese artefacts to Taipei is a sign of warming ties between China and Taiwan.
Nevertheless, the Taiwanese say there will not be any loans going in the opposite direction until an agreement is reached about Beijing's claims on treasures still in Taipei.
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