Medical help for illegal immigrants could haunt Mitt Romney –On the Republican campaign trail, he derides any such public aid. But the healthcare law he signed as Massachusetts governor allows it. 23 Oct 2011 The Massachusetts healthcare law that then-Gov. Mitt Romney signed in 2006 includes a program known as the Health Safety Net, which allows undocumented immigrants to get needed medical care along with others who lack insurance. Uninsured, poor immigrants can walk into a health clinic or hospital in the state and get publicly subsidized care at virtually no cost to them, regardless of their immigration status.