Kilkenny boss Brian Cody and Galway boss Micheál Donoghue both shared their surprise that three red cards were shown in their sides' clash at Nowlan Park yesterday.
The Cats Paul Murphy and Ger Aylward were both shown two yellow cards while John Hanbury was shown a straight red for a high tackle on Aylward in Galway's one-point victory.
Donoghue indicated that the Tribesmen are likely to appeal the red card, which would see Hanbury miss the final Leinster group game against Dublin on Saturday.
"When the dust settles we'll probably reflect and see if there is anything we can do on them," he told RTÉ Sport
"The game was played in a really good spirit. It was high intensity, some great scores, and with that comes big hits.
"But I don't think there was anything too malicious in it."
Cody added: "A red card is always costly. If you're down a player it does make it difficult. It's very hard to see the merit in all these red cards."
Man of the Match Cathal Mannion hit 0-07 from play - 'We'll take a one-point win against Kilkenny any day' pic.twitter.com/v185OWuDbB— The Sunday Game (@TheSundayGame) June 9, 2019
Galway were eight points ahead in the 50th minute but Kilkenny pushed them right to the wire in typically combative fashion.
That fighting spirit gives Cody hope ahead of a trip to Wexford that they cannot afford to lose if Dublin get the better of Galway in Parnell Park.
"It was a very competitive game,more or less fought to the bitter end," he said.
"I couldn't have any problem with the way they played. They really gave it everything. Galway threatened to pull away a few times but we just kept going at them. We just ran out of time in the end.
"We're still very much in the Championship. By its nature, when it gets to knock out, that's what everybody thrives on.
"It will be a huge game next weekend for us."
A win for Dublin would also guarantee their place in the Leinster final at Galway's expense but O'Donoghue is focused on ensuring his team have the right to defend their title on 30 June.
"The last two weeks had gone really well for us. The lads had shown in training that they were going to be well up for it and we got the desired performance.
"It's a big win for us but we still have to go to Dublin next Saturday evening, which is going to be a really tough challenge. But we go away now in confidence."