During a meeting at Parliament House on Wednesday, Mr Albanese said Australia remained committed to being Nauru's development and security partner of choice.
The two leaders also discussed Australia making further commitment on climate change, connectivity and co-operation through sport as part of deepening ties with the Pacific nation.
Talks on economic infrastructure in Nauru was also on the agenda for the bilateral meeting.
It comes as Nauru recently made moves to cut diplomatic ties with Taiwan in a bid to get closer links with China.
Mr Albanese told parliament Nauru remained an important ally for Australia.
"We do have a special bond and an enduring partnership," he said.
"We'll have discussions on how we can work together to further our mutual prosperity."
Opposition Leader Peter Dutton said the bonds between Australia and Nauru were strong.
"We have worked together on many issues over a long period of time, and at this point in history, our two countries need to be as close together as we've ever been," he said.
"I know under (Adeang's) leadership, we'll be able to facilitate that outcome."
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