1Drain marinade from artichoke hearts; cover and refrigerate artichokes. Mix marinade and wine in shallow glass or plastic dish. Add chicken and bell pepper, turning to coat with marinade. Cover and refrigerate, turning occasionally, at least 30 minutes but no longer than 24 hours.
2Heat coals or gas grill for direct heat.
3Remove chicken and peppers from marinade; reserve marinade. Cover and grill chicken 4 to 6 inches from medium heat 5 minutes. Turn chicken; add peppers to grill. Cover and grill 10 to 15 minutes longer or until peppers are tender and juice of chicken is no longer pink when centers of thickest pieces are cut.
4Strain marinade. Heat marinade, artichoke hearts, onions and pepper to boiling; boil and stir 1 minute. Serve artichoke sauce with chicken and peppers.