Sarah Palin and Donald Trump meet in New York City

Sarah Palin and Donald Trump exchanged words of admiration Tuesday after a brief meeting at the real estate magnate’s penthouse in a Manhattan skyscraper bearing his name, Huffington Post mediates.

Palin, the former Republican vice presidential nominee, said she and Trump shared similar ideas for improving the U.S. economy, while Trump called Palin a “terrific woman and a terrific friend” who he hoped would seek the GOP presidential nomination.

The meeting, part political parley and part reality TV show, capped the third day of Palin’s bus trip through historic sites along the East Coast. Palin has said she is considering joining the field of Republican candidates vying to challenge President Barack Obama next year.

Trump, the multimillionaire host of “Celebrity Apprentice” who mused about a presidential bid himself before dropping out of the running earlier this month, made headlines painting the U.S. as a country in decline. He criticized China for unfair trade practices and said the U.S. under Obama had become a “laughingstock” to the rest of the world.

After the meeting, Trump and his wife, Melania, rode in a stretch limousine with Palin, her parents and youngest daughter, Piper, to have dinner at a pizza restaurant in Times Square. The Palins planned to visit Ellis Island and the Statue of Liberty Wednesday morning.