I don't know that they need South Americans or Europeans specifically. The game is already pretty popular amongst certain people in Fiji and the Solomons, it's just that the population there is tiny, and the countries are never going to be able to support huge numbers of people.
I remember I used to play with several Fijian Indians who were great players. If people in the Pacific region saw one of their own succeed at the game in a big way, and play for a Europen club, I think it'd be a huge boost for the development of the game in Oceania.
Not that it would suddenly solve all the problems or anything, but it would certainly show people there that if they take football seriously it could provide them with a great future