ATLANTA — Governor Rick Scott of Florida, who made a fortune as a health care executive, long opposed President Obama’s remake of the health insurance market. But after the Democratic president won reelection, the Republican governor softened his tone.

Scott said he wanted to ‘‘have a conversation’’ with the administration about implementing the 2010 law. With a federal deadline approaching, he also said that while Florida won’t set up the exchange for individuals to buy private insurance policies, the feds can do it.