"However, when considering the options of travelling overseas, her welfare remained of the highest priority and we decided she would remain in Australia for her first breeding season.
"We would like to take this opportunity to thank all those who made expressions of interest. The level of attention was overwhelming and something we are very grateful for."
I Am Invincible is second on the Australian General Sires list to Snitzel.
His daughter, Invincibella, won the final Group 1 race of the Australian season on Saturday, the Tatt's Tiara at Eagle Farm.
The mating plans for the star mare have proved a topic of widespread conversation among industry insiders, with a handful of bloodstock pundits suggesting New Zealand's champion stallion Savabeel would be an ideal match for Winx.
A daughter of Street Cry out of Kiwi mare Vegas Showgirl, Winx retired as an all-time great of the turf after winning her third Group 1 Queen Elizabeth Stakes (2000m) at Randwick in April.
The rising eight-year-old was the winner of 37 of 43 starts, including 25 victories at Group 1 level and more than A$26 million in prizemoney earned.
- NZ Racing Desk