The Lions struggled to victory against the First Nations and Pasifika fifteen in Melbourne.
Ireland international Jamie Osborne scored two tries on his Lions debut while Leinster team-mate Thomas Clarkson made his debut from the bench.
Darcy Graham went off injured moments after his debut try gave Lions a 14-0 lead in the 11th minute.
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Duhan van der Merwe got the other try in the last outing before the second test match against Australia.