It's quest who invole the previous leader of the cats and the dogs (I don't remember the town it start after the 2/3 of the game). He want to fight Repede to regain his title so the quest is to mark territory (you need to sleep in all the possible region on the map). Your map will be marked in blue and red (in the special menu)
after about 90% you can go to Aurnion to trigger a scene where you get an attachment for repede. Then you can go to zaphias and talk to a dog in the lower quarter to get a title. You may need to get 100% to get the title though.
Hmm...is the scene you saw the one that happens automatically, on the field? If it was just that one, go to Dahngrest and talk to a cat near the entrance. Then, if you are at 90%, go to Aurnion, and go left and down a little, so you're near the watchtower-like structure. A scene should start and Repede gets a Pork Chop attachment. After that, finish the map...you have to sleep in ever little area, not just use the blue coloring as a guide. I did it fine by going into menu, going to map, and going down the list of field locations.
After you're done, go to Zaphias and go toward the game's first save point. Talk to a cat near there. Also, it's been said somewhere around here that the cat will appear if you almost have a full bar, but don't exactly have 100 percent. Good luck.