Most approaches I have seen to world music where bass instruments are not "native" tend to have the bass mimic or accent certain elements of the traditional hand drum patterns, as opposed to the melody. I am fairly certain that is where the distinctive bass style of Cuban music originates.
for example in the traditional belly dancing
Baladi rhythm; you have the doumbek drummers playing
Code:
1 & 2 & 3 & 4 &
D-D---B-D---B--
(Dum, Dum, ...Bek, Dum ...Bek)
And translated to bass lines would use the Root (Dum) and fifth (Bek) of the appropriate chord.
There is actually a world of cool bass ideas hidden in the hand drum patterns of the other cultures...