The two drivers made contact on a number of occasions during the race, but Button has insisted that the in-house matter has now been addressed.
"After the race it was important to sit down with the team and Checo and for us all to talk about the race, get it out and move on," Button told AutoSport.
"I think we're very lucky that we were allowed to race. There are a lot of teams where teammates aren't allowed to race. But we'd better respect that decision and not take advantage of it.
"That's something that we all understand now. Hopefully we can be racing in Barcelona: fighting cleanly and hopefully for the win, not for sixth or seventh."
Sebastian Vettel claimed first position in Bahrain.