After the pitch got away, Rays catcher Nick Fortes retrieved the ball and threw to Seymour, who was charging toward home and collided with Neto. The Angels shortstop remained on the ground near the plate holding the back of his neck after being called safe.
The 25-year-old stayed down for several minutes as members of the club's training staff attended to him, along with manager Kurt Suzuki.
Neto had drawn a walk earlier in the inning and advanced to second on a Mike Trout walk. He later stole third with two outs before scampering home on the wild pitch.
After being evaluated, Neto was able to walk off the field under his own power. Nick Madrigal entered the game and took over at second base while Oswald Peraza shifted from second to shortstop.
In the ninth, Madrigal immediately went to the dugout after a sinker from Andrew Wantz ricocheted off his wrist and struck him in the face. He left while holding a towel to his face, with Adam Frazier entering as a pinch-runner.