Taming a Thyla can be relatively difficult if your not prepared. Personally, I never tame my thyla’s in the redwoods on Ragnarok.

I highly suggest grabbing your bird (one you don’t necessarily care about) and head to the desert islands towards the bottom of the map. These islands are covered in thylas if your in the right spot (the island next to Jerboa Island is most populated).

Once you head there, find a nice level thyla. Perch yourself up on a rock and shoot the living hell out of that thing with darts. Once it’s down, shove some narcotics in it. These things run out of torpor relatively fast, so the next step needs to happen fast.

Ovis spawn on the islands next to the one your own, and are great for making thyla tames go fast. Go kill a couple, and bring it back to your thyla quickly.

Congrats, you have a thyla :)