Senator Rand Paul (L), Republican of Kentucky, speaks to the media after arriving back at the White House in Washington, April 2, 2017, after playing golf with President Donald Trump.

President Donald Trump golfed with a vocal Republican critic of his health-care push on Sunday, as he insisted efforts to repeal and replace President Barack Obama's signature healthcare law were not dead.

Senator Rand Paul and Office of Management and Budget Director Mick Mulvaney joined the president at Trump National Golf Club outside of Washington. The trio was "discussing a variety of topics, including healthcare," said White House Deputy Press Secretary Stephanie Grisham.

The outing came hours after Trump tweeted that talks to rework the nation's healthcare law were still under way.

"Anybody (especially Fake News media) who thinks that Repeal & Replace of ObamaCare is dead does not know the love and strength in R Party!" Trump tweeted early on Sunday.

"Talk on Repealing and Replacing ObamaCare are, and have been, going on, and will continue until such time as a deal is hopefully struck," he added in a second message.

Republican-led efforts to replace Obama's healthcare law were thrown into disarray 10 days ago after Republican leaders in the House of Representative had to withdraw their own legislation ahead of a vote due to insufficient support from conservative and moderate members of their own party.