U.S. President Donald Trump and top European Union officials didn't see eye to eye on climate, trade or Russia, European Council President Donald Tusk said after a meeting with Trump on Thursday.

Trump, who had irritated the EU by openly supporting Britain's departure from the bloc, met Tusk and European Commission President Jean-Claude Juncker during his first official visit to the EU headquarters in Brussels.

"My feeling is that we agreed on many areas ... but some issues remain open like climate and trade," Tusk said.

"I'm not 100 percent sure that we can say today -- 'we' means Mr President and myself -- that we have a common position, common opinion about Russia," he said after the meeting.

But he also added that regarding Ukraine "it seems that we were on the same line."

"However, my message to President Trump was that what gives our cooperation and friendship its deepest meaning are fundamental Western values like freedom, human rights and respect for human dignity," Tusk said.

An EU source also told dpa that Trump expressed concern about Britain's exit from the bloc noting that U.S. jobs would be lost because of it.

Trump's first meeting with senior EU leaders kicked off a flurry of diplomatic activity in Brussels.

Trump is on the fourth leg of his first overseas tour since taking office, and is due to meet with leaders of the NATO military alliance in the afternoon.

Trump will also meet newly elected French President Emmanuel Macron for a working lunch before heading to NATO.