Dredge chicken breasts in seasoning mix.
Place olive oil in skillet over medium-high heat; sear chicken on both sides; remove from heat; cool.
Cut chicken to thin strips; sauté vegetables, lime juice and chicken until vegetables are tender (~five minutes).
Spread or spoon sour cream on one side of each slice of bread; distribute vegetable/chicken mix to half the slices; top each with cheese slice and another slice of bread, sour cream-sidedown.
Preheat panini press to 350°F; place sandwiches on press; close; cook until cheese is melted and bread is toasted (~five minutes).