Washington (CNN) Texas Sen. Ted Cruz and Rep. Beto O'Rourke met during a chance encounter at a Texas airport this week, where the two reportedly exchanged kind words and discussed how they could "move forward" together just days after a highly contentious Senate election.

Cruz, a conservative Republican, beat O'Rourke, a rising star in the Democratic Party, in last week's midterm elections.

The encounter was posted on Tuesday on Twitter and Facebook by Tiffany Easter, who posed in photos with the two Texas politicians, writing that "Beto noticed Ted sitting down and walked over to congratulate him on his re-election and campaign."

@BetoORourke & @tedcruz, thank you for showing us the best of America today @ IAH. Thanks for the conversion, courage, humility, and inspiration. Post-election doesn't mean the conversation and civic engagement stops—in fact, it means the opposite. Thanks for your public service! pic.twitter.com/uVepvKQrW8 — Tiffany Easter (@TiffanyEaster) November 13, 2018

"It was the first time they had seen each other since the election and the entire conversation was both of them talking about how they could move forward TOGETHER," Easter wrote on Facebook.

"Today we literally watched them come together. This is America. This is good. This is wholesome," she said, adding that she was in "awe" of the "humility" the two showed.

Read More