Basset Hounds make a great family dog. They are excellent with kids and other animals, but when it comes to potty training, they can be pretty darn stubborn. One thing is certain, you will never get anywhere with your pup if you try to use any form of negative reinforcement or punishment training method. Bassett Hounds do not respond well to it and are more likely to dig in their heels and refuse to do what is being asked of them. Another issue you have to deal with during training is that their acute sense of smell tends to distract them quite easily.
Your mission, should you accept it, is to teach your stubborn Basset Hound that not only are you the more stubborn one, but that yes, he can learn to do his business outside. This is the important part, you need to let your pup know in no uncertain terms that you are the "Alpha" of the pack. Once you establish this relationship, training him will be a lot easier. The hardest parts of potty training your pup are cleaning up the messes from his little "accidents", and the number of times you will be taking him out every day for a long time.
Since your pup is being stubborn, you should already be familiar with his signs that he needs to go potty. If not, you need to start paying more attention to your dog when he is in the house. These signs include sniffing at the floor or door, scratching at the door or maybe even your leg, or possibly squatting or lifting his leg. Beyond this, you need a few things:
Along with all of these, you will need plenty of time and patience and a healthy supply of cleaning supplies for those accidents. Be sure you clean the floor thoroughly using an enzymatic cleaner to completely remove any odor. Traces of his scent are likely to draw your pooch back to the same spot to relieve himself.