Another serving with おかわり
おかわり means to have more of the same food or drink in succession. In some cases, it can refer to getting different items such as returning to a buffet table.
In English, the expression “another round” is close in meaning, but only when serving drinks to a group, typically alcoholic beverages. For an individual, phrases such as “I’ll have another” are close in meaning.
Examples
Another bowl of cat food with おかわり
おじさまと猫 » Volume 5 » Page 133

Another round of tea with おかわり
ふらいんぐうぃっち » Volume 3 » Page 33

Another round with おかわり
ARIA The MASTERPIECE » Volume 4 » Page 160

Another serving of café au lait with おかわり
ARIA The MASTERPIECE » Volume 4 » Page 94

Get me some more cookies with おかわり
恋に恋するユカリちゃん » Volume 5 » Page 52

More miso soup with おかわり
よつばと! » Volume 13 » Page 129
