From the rules (p. 4, 3rd column, 4th bullet): If you end your movement in a space with no adventure counters or towns, you skip the adventure and market steps.
Since you encounter other heroes in the adventure step, by the rules as written you can only encounter other heroes in towns or spaces with adventure counters.
My group has always played that you can encounter other heroes in any space (I think I missed that rule), regardless of its contents. How does your group play?