"It's not done," reliever Ronald Belisario said.
Dodgers manager Don Mattingly said he did not expect any further fighting Wednesday night -- and he didn't get any in Arizona's 8-6 extra-innings win. But the teams play 10 more times this season, with the next meeting on July 8 in Arizona. The Dodgers say the score remains unsettled because Diamondbacks pitcher Ian Kennedy hit pitcher Zack Greinke high on the left shoulder in the seventh inning. The Dodgers thought the issue should have been over after Greinke hit Miguel Montero in the seventh inning in retaliation for Yasiel Puig's beaning an inning earlier.
"If you really want to get technical about it, in baseball terms, it really shouldn't be over," Mattingly said. "Again, I don't want to come here to fight. I want to come to win a game today."
Most of all, the Dodgers were upset that both of Kennedy's pitches were in the vicinity of players' heads.
"If Greinke and Puig don't get out of the way, we have two guys in the hospital," pitcher Clayton Kershaw said.
Major League Baseball has yet to announce fines and suspensions for Tuesday's brawl, which involved coaches and players from both teams pushing and shoving and a few flurries of punches. Six participants, three from each team, were ejected.
A source told ESPN.com's Jayson Stark that no punishments or suspensions are expected until Thursday.
Puig was out of the lineup Wednesday night with a sore shoulder.
The bad blood between the Dodgers and Diamondbacks dates back to September 2011, when Kershaw and Mattingly were both ejected after Kershaw, upset with some showboating after a home run the night before, hit Gerardo Parra with a pitch.
The Diamondbacks reportedly were upset Tuesday because Greinke appeared to miss Montero with two pitches before one of them hit him squarely in the numbers on his back. Some people interpret baseball's unwritten code to say that a pitcher gets only one pitch to try to retaliate.
Mattingly said they should have taken it up with home-plate umpire Clint Fagan for not throwing Greinke out of the game after the first errant pitch.
"If you're mad at the umpire, throw at the umpire," Mattingly said.
Mattingly said he was gratified his players stood up for one another.
Greinke signed a six-year, $147 million contract to come to Los Angeles in December after playing in Kansas City, Milwaukee and Anaheim.
"If he doesn't do that, he loses a lot of respect in the clubhouse," Mattingly said. "It's more dangerous for him not to do that than to do that."
Greinke has been involved in two brawls this season stemming from hit batsmen. He broke his left collarbone fighting Carlos Quentin in San Diego in April.
Information from ESPN.com's Jayson Stark was used in this report.