Step 1

Preheat a grill to medium heat and oil grates well.

Step 2

Using a knife, make a pocket in the thick part of the chicken breast extending the length of the chicken breast without cutting through the sides or the bottom.

Step 3

Layer a slice of ham and cheese together and roll it up. Stick the roll in the pocket of the chicken. Repeat with the remaining breasts.

Step 4

For the Glaze: In a small bowl, mix the Dijon mustard, honey, olive oil, garlic, oregano, salt and pepper.

Step 5

Brush the mixture generously on both sides of each chicken breast. Grill chicken for 8-10 minutes per side or until chicken is done, basting occasionally with the remaining glaze while cooking.