The Red Sox are on the verge of winning the Eric Gagne sweepstakes, pending his approval and a review of his medical records, according to major-league sources. Gagne must waive his no-trade clause to Boston for the deal to be completed. It is possible the Red Sox will allow him to share the closer's role with Jonathan Papelbon. The Rangers had discussed trading Gagne to the Mets, Yankees and Brewers. He could have been sent to each of those teams without his permission. Gagne could reject the deal because of his desire to remain a closer with the Rangers rather than share the role with Papelbon or become his setup man.