Thinking about Sabin's scenario lately, mostly because of the "Shadow's Price" thread, and I thought I'd recant an interesting tale, with a helpful tip contained within (hence the title)...
The second time I played through the game, after the waterfall, I found myself with Cyan dead, Sabin severely wounded, a huge stretch of land to run across, and NO healing items whatsoever.
After several failed attempts to make it to Mobliz, I decided to save after each step I took, figuring that the battles had to happen at a random interval, and that eventually I would make it across.
However, lo and behold, after each save, no battle would come. I was guranteed a free step in the right direction, and made my happy way to Mobliz in no time!
Now, I must admit this trick was performed on the old SNES cart, so I don't know if it'll work on the ROM or the PSX version, but chancing that it might help someone caught in the same predicament I was, I post.