European stocks ended Tuesday's session just below the flatline, as investors digested news coming out of a historic bilateral meeting between the U.S. and North Korea.

The pan-European STOXX 600 closed Tuesday down 0.11 percent provisionally, off from its highs seen during earlier parts of the session. Looking at sectors, most major industries showed a mixed picture by the closing bell.

At the close, the U.K.'s FTSE 100 slipped 0.43 percent, with France's CAC 40 also dropping 0.38 percent. Germany's DAX however ended flat.

The main focus for investors during Tuesday's session was an accord between North Korea and the U.S., which hopes to work toward complete denuclearization and a lasting "peace regime" on the Korean Peninsula. Kim said that their agreement, which was signed by both leaders, would lead to a "major" change in the world, while Trump appeared confident that the Korean conflict would soon end.

While the news seems optimistic, investors remain cautious over what each country will define as "complete nuclearization." Following the summit's conclusion, markets across the world paused for breath, with Wall Street showing a mixed to slightly higher session around Europe's close.