Preheat oven to 350 degrees Fahrenheit.
In a small bowl, combine lemon juice, soya sauce, sesame oil and dijon mustard. Mix well.
Place both chicken breasts in a greased 8x8 Pyrex dish. Add the marinade and massage it into the chicken. To enhance the flavour, let the chicken sit for 1-2 hours before cooking.
Sprinkle basil and ground pepper on top of the marinated chicken breasts. Place in the oven and cook for 25-30 minutes.
Once cooked, remove the chicken from the oven and serve with your choice of side dish. Enjoy!