The China-led AIIB has approved seven new nations as prospective founding members, bringing the total to 57.
The new nations to sign in are Sweden, Israel, South Africa, Azerbaijan, Iceland, Portugal and Poland.
Norway is also on the list despite the complete freeze in relations and cutting all high-level ties between the two countries.
The conflict goes back to 2010 when the Nobel Peace Prize went to jailed Chinese dissident Liu Xiaobo.
The Norwegian government had insisted that the Nobel Committee is independent and makes its own choices
The United States and Japan are the two major nations to have abstained from joining the AIIB.
On Tuesday, a senior Canadian finance official said that Ottawa was actively considering joining the institution, despite US and Japanese reservations, according to Reuters.
China said it would welcome the island to join in the future "under an appropriate name".
China sees Taiwan, the self-ruled island of 23 million people as a renegade province; it considers Taiwan part of its territory and has repeatedly pledged to take it back, with the use of force being mulled as an option.
"Chinese Taipei" is the name Taiwan wants to use when joining the AIIB
