Laser and infrared welding systems comprising a laser welder or an infrared welder having integrated annealing are provided. Annealing may begin before, during, or after welding has begun. Several forms of annealing are provided, including annealing in an oven; annealing via heating with a source of pressurized, heated air; annealing with an infrared lamp; annealing via a heated fixture and/or tooling; and annealing via laser.