The 27-year-old Sydney-born Leven, who qualifies for Scotland through his Edinburgh-born father, played six times for Britain in last season's build-up for Eurobasket 2009, but failed to make the 12 for the finals.
Currently starring with English division one side Tees Valley Mohawks, along with Scottish internationalist Ike Attah, Leven has been released from GB duties by coach Chris Finch which leaves him free to play for Tom Campbell's Scotland side.
But Campbell will have to do without two more Scottish GB stars, Robert Archibald and Kieran Achara, who are both very much in Finch's plans as he prepares to lead GB into Euro A in their quest to clinch a place in the London 2012 Olympics.
Campbell has also named two of Scotland's 2006 Commonwealth Games team Laurie Costello and Ross Campbell in his squad of 13. Costello is one of four Edinburgh Kings players in the side, the others being Paddy Campbell, Simon Flockhart and Garreth Lodge.
Scottish Cup winners Falkirk Fury supply only one, Roni Gordon, a former Kings junior, while another ex-Kings junior Grant Gibson is the lone East Lothian Peregrine in the squad. Another two of the 2006 Commonwealth Games team, Gareth Murray, who has a BBL Play-Off with Glasgow Rocks on Sunday, and Tom Pearson, are unavailable.
Squad: Laurie Costello, Paddy Campbell, Garreth Lodge, Simon Flockhart (all Edinburgh Kings); Ross Campbell, Daniel Donnelly, Michael Lynn, Ifedade Thomas, (all Troon Tornadoes); Grant Gibson (East Lothian Peregrines); Neil Fraser (St Mirren); Roni Gordon (Falkirk Fury); Ike Attah, Steve Leven (both Tees Valley Mohawks).