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Station owner John Perriam yesterday raised the possibility of a visit to China by the stuffed merino. Shrek is at present with a taxidermist.
Mr Perriam said there had been considerable interest in the sheep from China.
Earlier, Cure Kids fundraising and business development director Josie Spillane said the Heng Yuan Xiang group had contacted the New Zealand Wool Testing Authority and expressed an interest in buying Shrek's remains.
When they were told they could not buy the body, they offered to buy the fleece.
When they were told this also would not be possible, they offered to buy a staple of his wool.
While in China, Mr Perriam handed over a staple for $5000.
Mr Perriam said Shrek was still with the Queenstown taxidermist but he did not know for how long.
He said Te Papa was funding the initial stages of the work at the taxidermist but he did not wish to comment further.
Shrek, the hermit merino wether who became a worldwide celebrity, was found on Bendigo Station, owned by Mr Perriam, in April 2004 after evading muster for six years.
Soon after his capture, Shrek was shorn of his 22kg fleece live on national television. He was later shorn in Auckland's Sky Tower and on an iceberg 90km off the Otago coast. He became a Cure Kids ambassador and travelled the country raising funds for the cause.
He would have turned 17 this year, but was put down on June 6 because of age-related ailments.
Ms Spillane said Shrek had raised more than $150,000 for the Cure Kids charity.