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Otago Museum exhibitions director Clare Wilson said there had been talks with John Perriam, of Bendigo Station, and expressed interest in exhibiting the now world-famous sheep.
"We would do something particular to Shrek in the short term and in the long term would have him as part of our Southern Land, Southern People exhibition. But that all depends on what the taxidermist can do."
Cure Kids fundraising and business development director Josie Spillan said it would be at least two weeks before the taxidermist would know if he could do anything with Shrek.