I'd take the pseudo-frame-challenge that is there some area of space that has antimatter
I'm choosing to ignore the rest of that sentence, because there is antimatter available in space, just wafting around for the taking. It isn't leftover though, but naturally generated by the interaction of cosmic rays with regular matter. People have put some thought into harvesting it... there's a longer read at Extraction of antiparticles concentrated in planetary magnetic fields.
The supply is small (you only get nanograms from Earth's radiation belts) but it is naturally renewed over time. Collection is less expensive than manufacturing fresh antimatter ex nihilo (but then, so is almost everything!). Saturn's rings might be a much richer source, but even then getting micrograms of the stuff is an enormous haul.
Nanogram amounts of antimatter are useful for various things, including antimatter-initiated fission and fusion rockets that would be a plausible way to eg. fly manned missions to the outer solar system without needing a breakthrough in fusion technology first. The ICAN-II paper describes such a ship, and Project Rho has a summary, if you were interested.
If you needed much larger amounts of antimatter though, you're out of luck. Sorry.
Natural antimatter containment.
It may be possible to have antimatter confined for extended periods of time in regular matter, as opposed to a special antimatter trap built for the purpose by a a suitably technologically advanced society.
Earnshaw's theorem states that you can't have a nice static trap for ions using electrical or magnetic fields, but it doesn't take into account quantum-mechanical effects at suitably small scales. There's an interesting (but paywalled) paper, Alternative pathways to antimatter containment which suggests that it may be possible to trap antimatter ions in the voids of a material like a zeolite, or maybe in a cage formed by a fullerene molecule.
Now, the odds of an antiproton/regular matter trap forming spontaneously is pretty low... the sort of events that create antiprotons are also the sorts of things that tend to damage the regular matter the traps would be made of. Such materials are potentially at risk of all sorts of other destabilizing events such as background radiation damaging the cage, releasing an antiproton and starting a chain reaction whereby one leaked antiparticle breaks the cages of multiple others nearby and foom it all goes up. This suggests you're only likely to find it in a deep underground vault on a very old, very stable planet, left there by some other alien species (or your ancestors, if your setting's history stretches to that sort of thing).
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If you'd like something rather more speculative, consider the possibility of natural materials that can be used to change matter into antimatter without requiring the input of too much energy.
Powering Starships with Compact Condensed Quark Matter posits the existence of nuclear-density "quark nuggets"... stable leftovers from a very early stage of the universe's formation. Such nuggets might be just floating around, ready for the finding, possibly in the centre of small asteroids with suspiciously high densities.
If you found such a thing, you could bounce a beam of high energy (100MeV+) particles off its surface. The reflected particles become antiparticles, ready for harvesting and confinement by whatever means you have to hand. A single nugget might weigh 10 million tonnes, and be able to convert maybe a million tonnes of matter into antimatter.
This provides a possible means to provide very large amounts of antimatter, and do crazy things like fly ramscoop rockets to other stars. It also allows for the existence of a finite, valuable resource that can also be found in other star systems, with all the storybuilding that entails.