What is premiumpilgrim quality solutions? Pilgrim Quality Solutions is a United States software company that was founded in 1993, and offers a software title called SmartSolve.How do i contact pilgrim insurance claims department? Questions on Existing Claims. 800-721-8294. 8:00 AM to 5:00 PM ET, Monday – Friday. Select option 3 for claims; Claim Department Mailing Address. Pilgrim Insurance Claims Department P.O. Box 120540 Boston, Massachusetts 02112-0540. Claim Department Fax Number. 617-956-6199 for first reports 617-956-6599 for all other claims correspondenceHow do i report an accident to pilgrim? Contact your agent or call Pilgrim at: Vehicle Accidents 800-721-8294. Select option 3 for claims. Select your preferred language. Select option 4 to report a new claim for the first time.