She spent the next two years visiting ports in the United Kingdom and Europe before sailing back to Sydney in 2005, completing a second round-the-world voyage.

On arrival in Australia, the HM Bark Endeavour Foundation transferred ownership of the vessel to the Australian National Maritime Museum.

[3] Funding for construction was provided by the Bond Corporation, with the completed replica to be presented as the company's gift to Australia for the nation's bicentenary.

[3] Recreation of the vessel was not problematic, as the original Endeavour had been surveyed multiple times by the Royal Navy, particularly during her conversion from a cargo collier to a ship of exploration, and these records had been retained by the British National Maritime Museum.

[7] In order to complete and operate the vessel, the HM Bark Endeavour Foundation was set up as a charitable trust in August 1991, with the Bond and Yoshiya Corporations donating their equity in the project.

[8][9] The vessel's hull is built from jarrah, with Oregon pine also used above the waterline: although oak and elm were used in the original ship, the decision was made not to use these as they were more susceptible to rotting.

[4] The Endeavour replica spent six months undergoing sea trials and operating around Fremantle before sailing around southern Australia to Sydney.

[12] From April until September 1995, the replica recreated the original Endeavour's voyage up the east coast of Australia, then made a three-month visit to New Zealand from November 1995 to January 1996.

[13] The Endeavour replica sailed from Vancouver to New Zealand via Hawaii, and reached Wellington in late December 1999, having circumnavigated the globe.

[16] The counter-clockwise voyage around the continent ended in May 2012, with fifteen ports visited and 13,300 nautical miles (24,600 km; 15,300 mi) sailed.