Heat a large heavy-bottomed skillet over medium high heat and add the olive oil.
Pat the salmon filets dry with some kitchen paper towel and season the salmon filets with the salt and pepper.
When the skillet is hot, add the salmon filets to the pan and let them cook for about 5 minutes on the first side.
While they cook, mix the butter, dill, parsley, basil and garlic in a bowl.
Flip the salmon filets after 5 minutes and place a spoonful of the garlic herb butter mixture on top of each salmon filet as it cooks on the other side for about 5 more minutes.
The butter will melt into a sauce. Spoon the sauce over the salmon filets as they finish cooking (5-7 minutes per side will do it). Measure the internal temperature to make sure each filet reaches 62 degrees Celsius (145 Fahrenheit).
Serve with a salad, rice, potatoes, pasta, or your favourite side dish.