Joey Lucchesi (3-2) allowed three runs and five hits as the last-place Padres dropped to 11-22.
The 23-year-old Buehler worked the first six innings, throwing 93 pitches - 59 for strikes - while issuing three walks and punching out eight in the third start of his career.
In the seventh inning Walker was pulled for Cingrani, who had two walks and a strikeout in the frame.
Los Angeles stranded 13 runners and went 0 for 9 with runners in scoring position. Four Dodgers pitchers combined to no-hit the Padres in Friday's opener, the first no-hitter outside the USA and Canada.More news: Steve Kerr Says Draymond Green is the 'Ultimate Antagonist'
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Friday night's no-hitter is the second of 2018, coming nearly two weeks after Sean Manaea no-hit the Red Sox on April 22.
Buehler is now 1-0 on the season with a 1.13 ERA in 16 innings pitched.
The no-hitter was the first in MLB history thrown outside of the United States or Canada along with being the first to come in a ballpark that is not home to a major league team.
BC-BBN-Dodgers-Padres-No-Hitter Alert, 1st Ld-Writethru, 194Buehler, bullpen through 8 hitless for Dodgers in MexicoAP Photo MXEV118, MXEV115, MXEV117Eds: APNewsNow.
This series was part of Major League Baseball's push to internationalize the sport. Chris Taylor and Enrique Hernandez each hit a solo homer while Matt Kemp and Alex Verdugo each contributed RBIs as well to round out the scoring for L.A.in the win. Now, the Dodgers get to feast on Bryan Mitchell, who has been brutal to start this season, and while Maeda hasn't been a world-beater by any means, the Dodgers are just the better team here and should be able to win this one easily.