Even with a big feud going on between the two, they eventually tend to forget about it after chatting for a while with each other.
ご質問ありがとうございます。
"Even with a big feud going on between the two,"＝「二人に大きな確執があっても」
"they eventually tend to forget about it"＝「彼らはいつかそれを忘れてしまうものだ」
"after chatting for a while with each other."＝「しばらくお互いとお喋りしているあいだに。」
ご参考に。
アメリカ合衆国 
