Melania Trump also selected Clinton china for the first state dinner she hosted last year for French President Emmanuel Macron.
The Obamas had hosted five state dinners by their third year in the White House.
Trump's guest list not only excluded elected Democrats and members of the media, but also popular entertainers.
"We're probably not going to get the credit we deserve, but I know this team is great and she knows this team is great," Melania Trump's spokeswoman said.
"We have a very special relationship. In fact, I'll get that little piece of dandruff off, that little piece," Trump said.
Brigitte Macron was denied an official title after a petition from French citizens.
Melania Trump tweeted a video of her preparations for the state dinner that appeared to feature the gold-trimmed Clinton china.