Add remaining oil and shallots to the skillet. Cook and stir over medium heat 2 to 3 minutes or until shallots soften. Add wine; stir to scrape up any brown bits. Increase heat to medium-high; add peaches. Cook and stir 2 minutes until wine reduced slightly. Return chicken and any juices on plate to the skillet. Cook 1 to 2 minutes, stirring frequently, or until chicken is hot. Stir in basil.