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Water park and zoo/amusement park (i.e., pools, ziplines, ropes course, climbing wall, dino statues everywhere, etc).
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Peaceful swampy, marshland setting with lagoons and boardwalks where you can take photos and observe birds, lily pads, insects, etc. Speaking of insects though, watch out so you don't get eaten alive. And be mindful of your security.
Cacica Gaitana Monument
A very abstract monument, you'll know it when you see it with horses and people suspended in the air. There may also be some little iguanas running around.
A monument regarding the history of Neiva.
Riverwalk along the steamy Magdalena jungle river. Coffee kiosks, plus an observation deck with a rather spooky humanoid face called the tower of Mohan to check out for views of the area. You may also be able to take a boat ride. Just take care for your safety and disregard trash.
City landmark.
Plaza in city center where you can people watch, relax, and be around office buildings and historic churches.