1Doing something again at a later, separate occasion — 'another time' or 'once more, on a different day'.
今日は時間がないので、改めてお伺いします。
I don't have time today, so I'll visit you again another time.
詳しいことは、改めてメールでご連絡します。
I'll contact you again by email with the details later.
改めて聞かれると、なぜその仕事を選んだのかうまく説明できない。
When asked again like that, I can't quite explain why I chose that job.
写真を見て、改めて彼女の優しさに気づいた。
Looking at the photo, I realized once again how kind she was.
2Doing something in a proper, formal, or deliberately emphasized way, rather than casually — often used when giving a formal greeting, thanks, or apology.
この度はご迷惑をおかけしましたこと、改めてお詫び申し上げます。
I would like to formally apologize once again for the trouble I've caused this time.
皆さんに改めてご紹介したい人がいます。
There is someone I would like to formally introduce to everyone.
本日は改めて、日頃のご支援に感謝申し上げます。
Today I would like to formally express my gratitude for your ongoing support.