If I recall correctly. I think I've been using Crossbow herbicide with more or less good success. Use it 100% and paint it on the stump right after you cut. It generally stops suckers from the stump but you may still have a few coming from the roots. I have also tried it mixed with diesel and sprayed to the exterior at the base of the tree before cutting. You have to completely encircle the tree and probably cover about a 1' strip around the tree. It killed most of the trees I applied it to but took quite a while to kill them -- months for some. A few have started to recover, I guess I should have hit them again but I thought there were going to die like the others. These were not just very small saplings, but some in the 12+" range. We have a variety of weeds here -- guava, albizia, etc. that can be tough to kill.
Back on the mainland, I would sometimes be plagued with oaks suckering. I had good success with taking a wood bit and drilling a few holes in the stump and pouring bleach in the holes. Those stumps never suckered. I haven't tried this yet with tropical trees but I am not optimistic as tropical trees seem a lot more tenacious.
John