I managed to pull 5-6 strange elastic white-transparent organisms from Toby's eyes. I never witnessed them move.
They're definitely not hairs, and using 19x macro lens took some pictures of them improvising a home-made microscope.
Afterwards, I took him to the vet, where we managed to pull one more worm (?) from the eye and vet examined it using his microscope. He seemed confused and unsure. I am from Europe and the only parasite here that infests cats eyes is Thelazia callipaeda, so we assumed it should be it, although the vet admitted he couldn't identify body parts (morphology or whatever), and neither was moving. I also failed to find similarity between verified (cdc.gov) microscopic images of T. Callipaeda and my own kinda-microscopic images.
Anyway, we decided to move forward with Milbemax.
Can somebody please help confirm that this might be indeed T. Callipaeda, or at least if it is in fact a parasite by using the pictures I took?