Edwards also vowed that full members of Australian-based players will be sent for the match from next year onward during the meeting held at the Prime Minister's residence in Baluwatar.
"It will be a representative team of some sort," Edwards said in a press release issued by the Prime Minister's Office.
"It could be a Chairman's team, it could be an under-23 team but the match will be played at the completion of the Australian international and first-class season. So, in a way, we will be looking for players who want to make themselves available." he said.
Edwards added that Australia will support for the all-round development and growth of Nepali cricket.
"We want to be able to perhaps bring some cricketers to Australia so they can train with our academies or with teams, as well as administrators," said Edwards.