I te Pipiri 2014, i karangahia a Gleeson ki te roopu whakangungu o nga Boomers o Ahitereiria mo te 2014 FIBA Basketball World Cup. I mahi ia hei kaiawhina i te taha o te kaiako matua a Andrej Lemanis. I haere tonu ia hei kaiawhina mo Lemanis i te 2015 me te 2016, i a ia e whai waahi ana ki te wikitoria o te Boomers 2015 FIBA Oceania Championship me a raatau Olympics o Rio
kaupapa.