Looping a short sequence on the longer main timeline

Not sure if this is how Premiere works or not, but here is what I WISH I could do. Please advise!

On my main timeline (let’s say it’s 1 minute long) I have a still image, Layer 1, basically as a backdrop. On the layer above, Layer 2, I want to place a small animation, let’s call it “ball”, which is a sequence of its own and the animation is within that sequence. It’s not a movie clip. Just an object whose position changes on the sequence timeline. 

What I want is for the main timeline to carry on and at some point I want it to reference the “ball” sequence and play only certain frames, but to repeat over and over while the rest of the main timeline goes on. Then at some point, reference “ball” sequence again, but different frames and repeat as well.

The ball sequence is only about 4 seconds, so I just want to reference and repeat. I don’t want to duplicate it over and over on the main timeline for certain reasons. Is this possible? 
Thanks!