Another serving with

おかわり is another helping of food or drink. It can also refer to going back for more at a buffet, even when the next serving contains different items.

Examples

Another bowl of cat food with おかわり

Manga panel from おじさまと猫 showing example of Another bowl of cat food with おかわり.
おじさまと猫 » Volume 5 » Page 133

After Marin finishes off her cat food, she meows and paws at Kanade’s leg.

奏(かなで):
「おかわり欲(ほ)しいのか?」
“Are you wanting another bowl?”

Another round of tea with おかわり

Manga panel from ふらいんぐうぃっち showing example of Another round of tea with おかわり.
ふらいんぐうぃっち » Volume 3 » Page 33

Makoto and her cousins visit a trendy witch-owned café. As the trio chats over tea and cake, the café’s owner and her daughter, Anzu, return home. Anzu goes out to greet the guests.

杏子(あんず):
「いらっしゃいませ。紅茶(こうちゃ)のおかわりいかがですか?」
“Welcome. Can I offer you some more tea?”

Another round with おかわり

Manga panel from ARIA The MASTERPIECE showing example of Another round with おかわり.
ARIA The MASTERPIECE » Volume 4 » Page 160

Akari visits Caffè Florian to wait until Alicia’s association meeting is over. There she meets a gentleman and the two pass the time together.

おじいさん:
「ウェイターおかわりをっ」
“Waiter, I'll have another.”
灯里(あかり):
「あ 私(わたし)も」
“Ah, me too.”