The insurance industry’s biggest lobbying group on Thursday sent a wish list to the Republican-led Senate about the types of changes they would like to see in a bill to repeal and replace Obamacare, including a recommendation to control health spending.

The recommendations from America’s Health Insurance Plans had been requested by Senate Finance Committee Chairman Orrin Hatch, R-Utah. The health insurance industry has covered millions of people under Obamacare, by providing plans to people that are paid for partly by the federal government. Insurers have until June 21, or sooner in some states, to decide if they will keep offering those plans. With Republicans’ vow to repeal and replace Obamacare, and with big losses incurred over a few years, some insurers have already decided not to participate.