ST. PETERSBURG, Fla. — The Yankees have flirted with being no-hit on various occasions this season, and Saturday was just their latest dance with infamy.

They eventually spared themselves the embarrassment of that unwanted distinction, but not by much.

Tyler Glasnow and the Rays’ bullpen held the Yankees’ feeble lineup to just two hits while handing them a 3-0 loss in front of 22,943 at Tropicana Field.

As has become the trademark of their disappointing season, the Yankees (62-67) followed a step forward on Friday — when they piled up 11 hits in a 6-2 win — with an immediate step back Saturday.

While losing for the 11th time in their last 13 games, they missed a chance to win back-to-back games for the first time since Aug. 2-3.

They will now need a victory Sunday over the Rays (79-52) to win their first series in more than a month.

“It’s been frustrating,” said Harrison Bader, who went 0-for-3 with a strikeout to sink further into a 5-for-41 slump. “You try to create momentum as best you can day-to-day, but you gotta tip your cap. They pitched well today. Just regroup and come back tomorrow.”

DJ LeMahieu broke up Glasnow’s no-hit bid with a one-out single in the sixth inning, then added another single to lead off the ninth inning against closer Pete Fairbanks.

The rest of the Yankees could not muster anything on a day when they touched second base just once.

It marked the fourth time in their last 10 games that the Yankees have been held to two hits or fewer, once in each of their last four series.

They were also one-hit by Bryce Elder and the Braves on Aug. 15, two-hit by Kutter Crawford and the Red Sox last Saturday and two-hit by Josiah Gray and the Nationals on Tuesday.

“We haven’t put it all together and been consistent enough offensively,” manager Aaron Boone said. “I don’t think today was one of those days we’ve seen where we’ve really been shut down. … I felt like we were having some at-bats against a really good pitcher [Glasnow]. We just weren’t able to obviously do enough.”

The anemic offense wasted another encouraging outing from Clarke Schmidt, who set career-highs by tossing 6 ²/₃ innings and 99 pitches.

Only one of the three runs he allowed was earned. Schmidt, who has already blown past his career-high in innings for a season as a pro, scattered six hits while walking none and striking out five.

The Rays got to him in the second inning, with an assist from some poor Yankees defense.

Isaac Paredes led off by hitting a ground ball to third base that Isiah Kiner-Falefa could not get out of his glove cleanly.

Luke Raley followed with a double that put runners at second and third.

Harold Ramirez and Jonathan Aranda then delivered back-to-back sacrifice flies for the 2-0 lead.

In the third inning, Randy Arozarena and Josh Lowe hit back-to-back doubles for a 3-0 lead. Bader lost Lowe’s deep fly ball to center field in the dome ceiling.

“It would have been a really good catch,” Bader said. “I wish I could have reeled that one in. But on the way down, I just lost it.”

The third run proved superfluous, though, on another quiet day from the Yankees’ offense.

They did hit 11 balls at 95 mph or harder off the bat, but it failed to result in any production.

“I actually thought we had, for the most part, a lot of competitive at-bats,” Boone said. “I don’t think we chased [Glasnow] out of the zone very often. We hit some balls on the button, but obviously weren’t able to do much against him and that’s a product of him.”