First you wash your mussels. I do this individually. They should come debearded but if they don't just pull them off. I always get a few i have to pull off. Don't know what a beard is? Then it's not right in front of you...
Discard the opened mussels if when you tap on them they don't close. If they close they are still alive and so they're fresh and good to go.
Heat a large pot on medium heat. Add oil, onion ,garlic, basil and stir. Wait until it's translucent and then add the chopped tomatoes. Sometimes i add a little wine here to scrape up the onion after it's cooked .
Stir well and add the thyme, parsley, salt and hot pepper. Add the wine, boil and then simmer medium for about 5 minutes. If there isn't enough broth at this time add a little water.
Add the mussels stir well. Cover and then open them every minute and stir from the bottom. Wait until they are all opened. Should take about 10 minutes.