Put a skillet on the stove at medium high and eyeball just enough olive oil to cover the bottom. Salt and pepper the fillets and add them to the skillet. About two to four minutes a side depending on their thickness. when they are firm to finger poke and the juices are running clear or the best way is to check them with an instant read meat thermometer. When they read 165°F they are done. Put them aside in a dish that will catch the drippings.
While the chicken is cooking coarsely chop the basil, if you are using fresh basil. Also if your red peppers need to be cut into smaller sizes get that done also.
Add the basil ,the wine and the peppers to the skillet.When the wine starts to simmer put the chicken and the drippings into the skillet.Turn them over a few times as they warm back up so that they get the flavors from the wine, peppers and basil.
Then serve up and enjoy your Chicken Fillets with Roasted Red Peppers and Basil. It's quick, easy and very good.