Medicare supplement (Medigap) insurance, sold by private companies, can help pay some of the health care costs that Original Medicare doesn’t cover, like copayments, coinsurance, and deductibles. Some Medigap policies also offer coverage for even more services that Original Medicare doesn’t cover, like medical care when you travel outside the U.S. If you have Original Medicare and buy a Medigap policy, Medicare will pay its share of the Medicare-approved amount for covered health care costs. Then your Medigap policy pays its share.