I'm not sure I know what you mean??? Does he get sick every day? Or did he just get sick the two times you mention? Also is he overweight... many Bassets tend to get too heavy easily. This can lead to digestion problems coupled with just minor exercise. My Beagles would occasionally throw up after being outside... usually it was from eating a bug or wilted sour grass. Maybe if you elaborate a little more, someone can be more helpful.