OAKLAND, Calif. -- The way the 2016 season had been going, the Oakland Athletics were bound to be no-hit Sunday.

That's how decisively they'd been dominated by the Boston Red Sox.

But a reversal on video review turned the finale of the season series in a new direction.

No-hit into the eighth inning, the A's got a walk-off win in the ninth when Danny Valencia raced home from first base as Boston Red Sox left fielder Brock Holt bobbled Khris Davis' double, finishing a 1-0 victory over the American League East contender.

"To be able to get a win like that against a team good," A's pitcher Kendall Graveman concluded, "just shows the type of team we have here."

The defeat ended a three-game winning streak for the Red Sox, who had blitzed the A's 16-2 and 11-2 in the first two games of the series.

It also dropped Boston (76-60) out of first place in the AL East. The Toronto Blue Jays (77-59), a winner at Tampa Bay earlier Sunday, moved a game ahead.

"Eddie (Eduardo Rodriguez, the Red Sox starter) threw such a great game ... it's disappointing," admitted Boston reliever Craig Kimbrel, who gave up the unearned run in the ninth. "I thought we should've had a sweep here. Winning two out of three is great, but it's a little disappointing."

Kimbrel faced just two batters in the ninth after taking over from Rodriguez, who pitched 7 2/3 innings of no-hit ball.

Kimbrel (2-4) walked Valencia, the first batter he faced, before Davis hooked a shot toward the left-field foul pole.

Holt played the ball off the fence, but bobbled it momentarily, prompting A's third base coach Ron Washington to send Valencia to the plate. He made it easily, ending Oakland's five-game losing streak.

"Keep battling. Keep battling," Graveman said of the team's approach to the scoreless game. "Hat's off to KD (Davis)."

Ryan Madson (5-4), who pitched a 1-2-3 top of the ninth, got the win.

Rodriguez carried his no-hitter two outs into the eighth inning, then got Marcus Semien to ground one toward the middle of the diamond.

The left-hander, facing third base after his follow-through from the pitch, stuck out his right leg behind him and knocked the grounder down.

Rodriguez quickly retrieved the ball and threw to first, where umpire Laz Diaz called Semien out.

A's manager Bob Melvin challenged the call, and it was quickly reversed on review.

"I had a good feeling about it," Semien said of the review. "It's great with replay now. It's nice to get it right."

The review took less than a minute.

"Unfortunately, he gets a ball off his shoe that he can't seemingly find," Red Sox manager John Farrell said of Rodriguez, "and that's the end of a potentially history-making day here."

Now winless over his last five starts despite a 2.89 ERA, Rodriguez retired Jake Smolinski on a grounder back to the mound to end the inning. At 110 pitches and with the heart of the A's order looming for a fourth time, he was pulled before the start of the ninth, having allowed one hit while walking two and striking out five.

"He had an explosive fastball today," Farrell assessed. "He was outstanding."

Graveman, the A's starter, was nearly as good. He pitched 6 1/3 innings of shutout ball, allowing six hits. He walked two and struck out seven.

"Kendall's our ace right now," Semien gushed. "That's big to have Kendall throwing like that. It gave us a chance to salvage the series."

The A's not only had been bombed by a total of 27-4 on Friday and Saturday, but entered the game having lost all five games this season against the Red Sox, allowing at least 10 runs in each.

That had never previously been done in the AL.

Graveman entered the seventh inning with a five-hitter, then gave up a one-out single by to Yoan Moncada and a walk to No. 9 hitter Jackie Bradley Jr., ending his day.

Ryan Dull came on to get Dustin Pedroia on a flyball to left and Xander Bogaerts on a pop-up to shortstop to keep the game scoreless.

"We just tried to take them to the end," Graveman said of the A's pitching staff, "and then get a walk-off."

Davis and Semien had the only two hits for the A's, who haven't been no-hit since July 13, 1991, a stretch of 4.032 games that's the longest in the majors.

Moncada and Pedroia had two hits apiece for the Red Sox, who out-hit the A's 6-2.

Boston had won nine straight over Oakland, scoring 91 runs over that stretch.

NOTES: The last team to no-hit the A's were the Baltimore Orioles, using four pitchers. ... Red Sox DH David Ortiz went 0-for-2 with two walks and two strikeouts in his Oakland finale. He went 5-for-8 with two doubles and five RBIs in the series. ... Red Sox manager John Farrell announced before the game that RHP Clay Buchholz will start Tuesday at San Diego in place of RHP Steven Wright (sore shoulder). ... Farrell also said Ortiz will only pinch hit in the three-game interleague series in San Diego. ... A's manager Bob Melvin announced the club will call up RHP Raul Alcantara and RHP Jharel Cotton to start games Monday and Wednesday, respectively, in the home series against the Los Angeles Angels. ... Melvin also noted that top prospect 3B Matt Chapman, who hit three home runs Saturday for Triple-A Nashville, probably will not be promoted to the majors this season.