Television cameras caught Davis showing his displeasure in the dugout after Hinch decided to pinch-hit for him in the top of the seventh inning.
With two outs in the inning and the D-backs trailing, 3-2, Hinch elected to send up pinch-hitter Ryan Roberts for Davis, who had thrown just 80 pitches to that point.
"We've got seven outs [left] in the game," Hinch said. "Obviously, we're trying to get a guy on base in front of [Felipe] Lopez and [Gerardo] Parra, so with seven outs, I'm going to take a shot at getting a guy on base and hitting a ball in the gap to score him and tie the game. It's a tough decision, but at the same time, it's a decision I made."
And it apparently was one Davis was not pleased with. The left-hander, who left the clubhouse without speaking with reporters, came back from the on-deck circle clearly agitated and had something to say to Hinch. Davis then went to the other end of the dugout to retrieve his hat and glove, and Hinch waited for him by the tunnel leading to the clubhouse.
When Davis came back, the two went into the tunnel and disappeared from the view of the cameras.
"We had a talk," Hinch said. "[The tunnel] is the best place to have a conversation where you can talk about it. Obviously, players have to understand that we're trying to win the game there. I don't fault him for wanting to stay in the game, I don't fault him for being frustrated and continuing to want to be there, but once the decision is made, it's over, and we're going to try to get a guy on base in front of Lopez and Parra and try to tie the game up.
"There are a lot of tough decisions in those games. These tough decisions are part of it. It's nothing that I'm going to run away from."
Roberts struck out looking, and Davis night ended after allowing three runs -- two earned -- on four hits in six innings. He did not suffer the loss, thanks to Stephen Drew's ninth-inning homer.
Steve Gilbert is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.