LOS ANGELES   —  

After having a tough time trying to "settle in" against theNationals on Tuesday night, Clayton Kershaw got through unscathed to pick up his MLB-leading 17th win of the season.

Once he got through that part of the night, he walked out of the Dodgers clubhouse to encounter 13-year-old Mo'ne Davis. And the two-time Cy Young Award winner, who's as competitive as they come, had the appearance of not wanting any parts of the Little Leaguer.

"I don't know how we're going to make this pitch-off work," Kershaw told Davis.

"It's OK," Davis replied. "I had 10 strikeouts in a game. I think I won."

It should be noted, Davis' games are just six innings long. Kershaw had eight strikeouts Tuesday night in an eight-inning outing.

Kershaw gave up three hits, walked two and allowed just one run -- €“a solo homer to Bryce Harper. His ERA dropped to 1.70 on the season. 

Earlier in the night Davis dazzled the crowd, too. She threw out the ceremonial first pitch, which was a perfect strike into the glove of Dodgers backup catcher Drew Butera.

In their first ever meeting, Kershaw and Davis, naturally, talked about pitching.

"How did you feel when Bryce Harper hit that home run?" Davis asked her favorite pitcher.

"Not good," Kershaw replied. "He hit it far, didn't he?" 

Davis laughed and nodded in agreement about the shot Harper hit that traveled an estimated 416 feet to right center field. 

"I got a little stubborn," Kershaw continued. "I kept throwing him fastballs, thinking he couldn't catch up and he did. It happens. Probably not very often to you, though."

One's a Little League star. One's a star in the majors. But on this night, in this setting €“the hallway outside of the Dodgers clubhouse at Dodger Stadium €“they were just two pitchers talking about the game.

The curveball is the pitch Davis gives up the most home runs on, she shared. For Kershaw, it's the fastball, he says.

They talked more about about the game and like stars do, they ended the night by exchanging memorabilia. Kershaw gave Davis an autographed bat. In return, Davis will send him a copy of Sports Illustrated with her on the cover. 

She'll also return to Pennsylvania as winner of the "pitch-off" by TKO.