My Cat Has Puss Gathering In Corner Of Eye, Should I Worry Or Just Treat With Warm Solution?

This will not resolve with warm water treatment.  Pus signals infection--it sounds like your cat has conjunctivitis.  Your cat needs to be examined by a veterinarian to make sure there is not a corneal ulcer present or an ocular foreign body.  Your veterinarian can also prescribe topical medication to treat this infection.

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I think your cat may have conjunctivitis, go to the vets to ask for a solution!